Geometry

Question Analysis

This question focuses on using the property of similar triangles . The key is to apply the SSS (Side - Side - Side) similarity concept by setting up the correct ratio of corresponding sides to find the length of .

 

Key Concept Explanation

For similar triangles, the ratios of corresponding side lengths are equal. That is, if , then . This allows us to establish equations to solve for unknown side lengths.

 

Step - by - Step Solution

1. Identify corresponding sides and set up the ratio equation:

In  and , we know , , . Let the length of  be .

Since

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