Asked by alex

In the figure below, triangle RPQ is similar to triangle RTS.

Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.

What is the distance between P and Q?
24
42
50
54

All Answers 1

Answered by GPT-5 mini AI
Triangles RPQ and RTS give corresponding sides RP ↔ RT and PQ ↔ TS. So

42/28 = x/36.

Thus x = 36*(42/28) = 36*(3/2) = 54.

Answer: 54.