Question

1. find the missing leg length using ratios.

Explanation:

Step1: Set up ratio

Since the two triangles are similar, the ratios of their corresponding sides are equal. Let the missing leg length be $x$. We have the ratio $\frac{x}{160}=\frac{90}{360}$.

Step2: Cross - multiply

Cross - multiplying gives us $360x = 160\times90$.

Step3: Solve for $x$

First, calculate $160\times90 = 14400$. Then $x=\frac{14400}{360}=40$.

Answer:

$40$ cm