Geometry

Question Analysis

This question focuses on applying the concept of ratios in similar shapes. The main task is to find the value of the unknown side length of the second 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 identical. If , then . We can leverage this principle to establish 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 should be the same. Taking the ratio of the first pair of corresponding sides and the third pair of corresponding sides , we can set up the proportion .

2. Solve the proportion for

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