Question

the figures are similar. find the missing side length.

Explanation:

Step1: Set up proportion

For similar figures, the ratios of corresponding sides are equal. Let the missing side - length be $x$. We can set up the proportion $\frac{10}{15}=\frac{x}{24}$.

Step2: Cross - multiply

Cross - multiplying gives us $15x = 10\times24$.

Step3: Solve for $x$

First, calculate $10\times24 = 240$. Then, $x=\frac{240}{15}=16$.

Answer:

16