Question

the figures below are similar. use proportions to find the length of n. n = ?

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{4}{9}=\frac{8}{n}\).

Step2: Cross - multiply

Cross - multiplying gives \(4n = 9\times8\).

Step3: Solve for \(n\)

First, calculate \(9\times8 = 72\). Then, \(n=\frac{72}{4}\).

Answer:

\(n = 18\)