Question

17 the figure shows two similar triangles with side lengths as indicated. what is the value of x? enter your answer in the box.

Explanation:

Step1: Set up proportion

Since the two triangles are similar, the ratios of corresponding sides are equal. We have $\frac{30}{15}=\frac{36}{x}$.

Step2: Cross - multiply

Cross - multiplying gives $30x = 15\times36$.

Step3: Solve for x

First, calculate $15\times36 = 540$. Then $x=\frac{540}{30}=18$.

Answer:

18