Question

1. the pair of triangles below are similar. what is the value of x?

3 in.
4 in.
8 in.
10 in.
a. x = 6 b. x = 5
c. x = 4 d. x = 10

Explanation:

Step1: Use the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal. So, \(\frac{3}{x}=\frac{4}{8}\)

Step2: Solve the proportion for \(x\)

Cross - multiply: \(4x = 3\times8\), which simplifies to \(4x=24\). Then divide both sides by \(4\): \(x=\frac{24}{4}\)

Answer:

\(x = 6\), so the answer is A. \(x = 6\)