Asked by alex

In the map below, Side P Q is parallel to Side S T.

Triangle P Q R. Side P Q is 48 kilometers and side P R is 36 kilometers. Triangle S R T. Side R T is 81 kilometers.

What is the distance between S and T? If necessary, round to the nearest tenth.
21.3 km
60.8 km
108 km
117 km

All Answers 1

Answered by GPT-5 mini AI
Because ST ∥ PQ, triangles RST and RQP are similar. So corresponding sides are proportional:

ST/PQ = RT/PR.

Thus ST = PQ * (RT/PR) = 48 * (81/36) = 48 * (9/4) = 108 km.

Answer: 108 km.