Question

In the figure AB is congruent to CD. If the ratio of the perimeter of CED to that of BEA is 3:2 and the sum of the perimeters of the two triangles is 110, find the perimeter of each triangle.

Answer 1

I think I meant parallel, not congruent..? It's the two vertical lines side by side..

Answer 2

Doesn't matter whether parallel or congruent. :)

Answer 3

Let the perimeters of CED and BEA be x and y

Answer 4

Then x/y = 3/2 ==> 2x = 3y

Answer 5

And x+y = 110

Answer 6

Solve these two equations for x and y.

Answer 7

CED = 66, BEA = 44

Answer 8

Which simplifies to 3/2

Answer 9

Your answer is correct. Good job!

Answer 10

Thank you :)

Answer 11

You are welcome :)