Question

1. assume the triangles in each problem below are similar. set up a proportion and solve for the missing side length.

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{10}{60}=\frac{x}{30}\)

Step2: Cross - multiply

Cross - multiplying gives \(60x = 10\times30\)

Step3: Solve for \(x\)

\(60x=300\), then \(x=\frac{300}{60}=5\)

Answer:

\(x = 5\)