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What is the perimeter of a triangle with corners at #(9 ,2 )#, #(6 ,3 )#, and #(4 ,7 )#?

Answer 1

Perimeter is #14.7055#

For finding perimeter of the triangle, we will have to first find all the sides of the triangle, which can be done use distance formula between every set of two points.

Hence, let us find the sides of triangle formed by #(9,2)#, #(6,3)# and #(4,7)# by using distance formula #sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

The distance between pair of points will be

#a=sqrt((6-9)^2+(3-2)^2)=sqrt(9+1)=sqrt10=3.1623#

#b=sqrt((4-6)^2+(7-3)^2)=sqrt(4+16)=sqrt20=4.4721# and

#c=sqrt((4-9)^2+(7-2)^2)=sqrt(25+25)=sqrt50=7.0711#

Hence,, Perimeter is #3.1623+4.4721+7.0711=14.7055#

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Answer 2

James Atkins

To find the perimeter of a triangle with corners at (9, 2), (6, 3), and (4, 7), you need to calculate the distance between each pair of points and then sum those distances.

Distance between (9, 2) and (6, 3): √((9 - 6)^2 + (2 - 3)^2) = √(3^2 + (-1)^2) = √(9 + 1) = √10

Distance between (6, 3) and (4, 7): √((6 - 4)^2 + (3 - 7)^2) = √(2^2 + (-4)^2) = √(4 + 16) = √20

Distance between (4, 7) and (9, 2): √((4 - 9)^2 + (7 - 2)^2) = √((-5)^2 + 5^2) = √(25 + 25) = √50

Perimeter = √10 + √20 + √50 ≈ 3.16 + 4.47 + 7.07 ≈ 14.7

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Answer from HIX Tutor

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.