Question

1. triangles abc and def are similar. find e.

9
11
10
12

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{AB}{DE}=\frac{AC}{DF}\). Substituting the values, \(\frac{4}{8}=\frac{5}{e}\).

Step2: Cross - multiply

Cross - multiplying gives \(4e = 8\times5\).

Step3: Solve for \(e\)

\(4e=40\), then \(e=\frac{40}{4}=10\).

Answer:

10