Question

Find the approximate perimeter of the

isosceles triangle APAZ plotted below.
Round your final answer to the nearest
hundredth.

Answer 1

20.03

Explanation:

To find the perimeter of the triangle, we need to find the length of each side, and we can do this finding the distance from each pair of vertix of the triangle:

Knowing that P = (3, -4), A = (-4, 1) and Z = (-2, 3), we have:

side PZ: distance = sqrt((3 - (-2))^2 + (-4 - 3)^2) = 8.6023

side PA: distance = sqrt((3 - (-4))^2 + (-4 - 1)^2) = 8.6023

side AZ: distance = sqrt((-4 - (-2))^2 + (1 - 3)^2) = 2.8284

So the perimeter is PZ + PA + AZ = 8.6023 + 8.6023 + 2.8284 = 20.03