Question

1. the triangles are similar by the aa similarity postulate. find the value of x.

1.2
5.3
12
53

Explanation:

Step1: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So we have $\frac{6}{6 + 2}=\frac{9}{x}$.

Step2: Cross - multiply

$6x=(6 + 2)\times9$.

Step3: Simplify right - hand side

$6x=8\times9=72$.

Step4: Solve for x

$x = \frac{72}{6}=12$.

Answer:

12