Question

the figures are similar. find the missing side length.

Explanation:

Step1: Set up proportion

Since the figures are similar, the ratios of corresponding sides are equal. Let the missing side length be $x$. We have the proportion $\frac{12}{15}=\frac{24}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $12x = 15\times24$.

Step3: Solve for $x$

First, calculate $15\times24 = 360$. Then, $x=\frac{360}{12}=30$.

Answer:

30