Geometry

Question Analysis

This question focuses on applying the concept of ratios in similar shapes. The main task is to find the unknown side length of a similar triangle by using the property that the ratios of corresponding side lengths in similar triangles are equal.

Key Concept Explanation

For similar triangles, the ratios of corresponding side lengths are equal. That is, if , then . We can use this principle to set up a proportion and solve for the unknown side.

Step - by - Step Solution

1. Set up the proportion:

We know that the ratio of corresponding sides of the two similar triangles is the same. Comparing the sides, we can set up the proportion .

2. Solve the proportion for :

Cross - multiply the proportion:

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