Geometry

Question Analysis

The key is applying the Side - splitter theorem corollary. Since , we can use the proportional relationship of the sides divided by the parallel line to find . Given , , and , we'll set up the proportion to solve for .

 

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. So in , we have .

 

Step - by - Step Solution

1. First, identify the known values:

, , and

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