What is the perimeter of a triangle with corners at #(1 ,4 )#, #(5 , 2 )#, and #(9 ,7 )#?

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To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using theTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

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Using theTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formulaTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distanceTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, theTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, theTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distanceTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of aTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance betweenTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between twoTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between twoTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two pointsTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, yTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) andTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1)To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (xTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2,To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2,To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2)To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, yTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is givenTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given byTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is givenTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given byTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((xTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - xTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(xTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² +To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 -To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - xTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (yTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 -To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - yTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 +To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (yTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

ForTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 -To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For theTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - yTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sidesTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides ofTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of theTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangleTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1:To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5,To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 -To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 -To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 +To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 -To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)²To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 +To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 =To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2:To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9,To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. DistanceTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 -To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 -To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) =To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 +To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 -To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 +To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) =To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 +To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

SideTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3:To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 +To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9,To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) toTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1,To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3.To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. DistanceTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 -To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance betweenTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)²To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² +To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9)To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) =To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

TheTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 +To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter isTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is theTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sumTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum ofTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of theseTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengthsTo find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 +To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 +To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 +To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

NowTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, addTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add theseTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances togetherTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together toTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to findTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find theTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 +To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeterTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544 ≈To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{PerTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544 ≈ To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{PerimeterTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544 ≈ 17To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{Perimeter}To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544 ≈ 17.To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{Perimeter} =To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544 ≈ 17.183To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{Perimeter} = \To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544 ≈ 17.183To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{Perimeter} = \sqrtTo find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544 ≈ 17.183To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{Perimeter} = \sqrt{To find the perimeter of a triangle with vertices at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides.

Using the distance formula, the length of a line segment between two points (x1, y1) and (x2, y2) is given by:

√((x2 - x1)² + (y2 - y1)²)

For the sides of the triangle:

Side 1: (1, 4) to (5, 2) √((5 - 1)² + (2 - 4)²) = √(4² + (-2)²) = √(16 + 4) = √20 = 2√5

Side 2: (5, 2) to (9, 7) √((9 - 5)² + (7 - 2)²) = √(4² + 5²) = √(16 + 25) = √41

Side 3: (9, 7) to (1, 4) √((1 - 9)² + (4 - 7)²) = √((-8)² + (-3)²) = √(64 + 9) = √73

The perimeter is the sum of these lengths:

2√5 + √41 + √73 ≈ 2.236 + 6.403 + 8.544 ≈ 17.183To find the perimeter of a triangle with corners at (1, 4), (5, 2), and (9, 7), we need to calculate the sum of the lengths of its three sides. Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} ]

So, for the given triangle:

1. Distance between (1, 4) and (5, 2): [ \sqrt{(5 - 1)^2 + (2 - 4)^2} = \sqrt{4^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} ]

2. Distance between (5, 2) and (9, 7): [ \sqrt{(9 - 5)^2 + (7 - 2)^2} = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ]

3. Distance between (9, 7) and (1, 4): [ \sqrt{(1 - 9)^2 + (4 - 7)^2} = \sqrt{(-8)^2 + (-3)^2} = \sqrt{64 + 9} = \sqrt{73} ]

Now, add these distances together to find the perimeter:

[ \text{Perimeter} = \sqrt{20} + \sqrt{41} + \sqrt{73} ]

Therefore, the perimeter of the triangle is ( \sqrt{20} + \sqrt{41} + \sqrt{73} ).