Question

Triangle MNO is similar to triangle PQR. Find the measure of side PQ. Round your answer to the nearest tenth if necessary. R 11 M 45 4.6 M Р Answer: Submit Answer here to search

Answer 1

Answer: PQ = 18.8

The right angle triangles are similar

ON = QR

MN = PQ

Step 1: Establish the similarity theorem

`\begin{gathered} (ON)/(QR)\text{ = }(MN)/(PQ) \\ (11)/(45)\text{ = }(4.6)/(PQ) \\ \text{Cross multiply} \\ 4.6\cdot\text{ 45 = 11x PQ} \\ 207\text{ = 11PQ} \\ \text{Divide both sides by 11} \\ PQ\text{ = }(207)/(11) \\ PQ\text{ = 18.8} \end{gathered}`