Geometry

Question Analysis

This question involves using the property of similar triangles. Since , we can apply the SSS (Side - Side - Side) similarity concept. The main focus is to find the length of by using the ratio of corresponding sides of the similar triangles.

 

Key Concept Explanation

For similar triangles, the ratios of corresponding side lengths are equal. That is, if , then . This property allows us to set up equations to find unknown side lengths.

 

Step - by - Step Solution

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

In and , the corresponding sides are in proportion. We know that .

Given , , and . Let the length of

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