Geometry

Question Analysis

The main focus is applying the Side - splitter theorem corollary. Given , we can set up a proportion using the side lengths of to find the value of . We know , , , and , and need to use these values correctly in the proportion.

 

Key Concept Explanation

The Side - splitter theorem corollary states that if a line is parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally. In , we have .

 

Step - by - Step Solution

1. First, find :

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