Question

Triangle OPQ is similar to triangle RST. Find the measure of side ST. Round your answer to the nearest tenth if necessary

Answer 1

Given that triangles OPQ and RST are similar triangles, the measure of side ST is: 75.3.

What are Similar Triangles?

The ratio of the corresponding sides of two similar triangles are always equal, meaning the sides are proportional to each other.

Given:

• OP = 17
• ST = 31
• PQ = 7

Since Triangle OPQ is similar to triangle RST, therefore:

RS/OP = ST/PQ

Substitute

RS/17 = 31/7

Cross multiply

RS = (31 × 17)/7

RS = 75.3

Learn more about similar triangles on:

https://brainly.com/question/11920446