Geometry

Question Analysis

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

 

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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