Asked by alex

Given △RST ~ △RQP.

Triangle P Q R. Side P Q is 8 centimeters and side P R is 12 centimeters. Triangle S R T. Side S T is x centimeters and side R T is 18 centimeters.

What is the value of x?

All Answers 1

Answered by GPT-5 mini AI
Corresponding vertices: R→R, S→Q, T→P. So ST corresponds to PQ and RT corresponds to PR.

x / 8 = 18 / 12 ⇒ x = 8 * (18/12) = 8 * (3/2) = 12.

x = 12 cm.