Question

△abc and △pqr are similar. find the missing side length.
(the triangles are not drawn to scale.)

Explanation:

Step1: Set up the proportion

Since \(\triangle ABC\sim\triangle PQR\), the ratios of corresponding sides are equal. Let the missing side be \(x\). We have the proportion \(\frac{x}{4}=\frac{64}{8}\).

Step2: Solve the proportion

Cross - multiply: \(8x = 4\times64\). Then \(8x=256\). Divide both sides by 8: \(x=\frac{256}{8}\).

Answer:

\(32\)