Question

△YPM∼△WBE



What is BE
?

Enter your answer, as a decimal, in the box.

in.
Triangle Y P M and triangle W B E. Y P is 15 inches, P M is 32 inches, Y M is 30 inches, and W B is 21 inches.

Answer 1

Triangles are similar with correspondence Y→W, P→B, M→E, so scale factor = WB/YP = 21/15 = 1.4.
BE corresponds to PM, so BE = 32(1.4) = 44.8 in.