# What is the perimeter of a triangle with corners at #(2 ,5 )#, #(9 ,2 )#, and #(3 ,1 )#?

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The perimeter is the sum of the lengths of the sides, so, if we call

we have

The formula to find the length of a line, knowing its extreme points' coordinates, is

Applying this formula to all points, we have

Note that all the values of the square roots are approximated!

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To find the perimeter of a triangle with corners at the given coordinates, we need to calculate the distance between each pair of points and then sum these distances.

Using the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Distance between (2, 5) and (9, 2): √((9 - 2)^2 + (2 - 5)^2) = √(7^2 + (-3)^2) = √(49 + 9) = √58

Distance between (9, 2) and (3, 1): √((3 - 9)^2 + (1 - 2)^2) = √((-6)^2 + (-1)^2) = √(36 + 1) = √37

Distance between (3, 1) and (2, 5): √((2 - 3)^2 + (5 - 1)^2) = √((-1)^2 + 4^2) = √(1 + 16) = √17

Perimeter = √58 + √37 + √17 ≈ 7.62 + 6.08 + 4.12 ≈ 17.82

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the perimeter of a triangle with corners at #(2 ,6 )#, #(4 ,5 )#, and #(3 ,1 )#?
- What is the equation of the line passing through (-3,-2 ) and (1, -5)?
- What is the perimeter of a triangle with corners at #(3 ,9 )#, #(5 ,7 )#, and #(8 ,7 )#?
- Circle A has a center at #(8 ,5 )# and an area of #100 pi#. Circle B has a center at #(4 ,2 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them?
- A line passes through #(5 ,6 )# and #(7 ,3 )#. A second line passes through #(2 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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