Geometry

Question Analysis

This question involves the Side - Splitter Theorem. The main focus is to use the proportionality relationship created by the parallel line  in  to find the length of .

 

Key Concept Explanation

The Side - Splitter Theorem states that if a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. In , since , we have , and also .

 

Step - by - Step Solution

1. First, find the length of :

Given  and , then

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