Question

triangle lrs is similar to triangle opq. find the measure of side qo. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let \(x = QO\). The proportion is \(\frac{10}{20}=\frac{22}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(10x=20\times22\).

Step3: Solve for \(x\)

First, calculate \(20\times22 = 440\). Then \(x=\frac{440}{10}\).

Answer:

\(44\)