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

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