Geometry

Question Analysis

This question uses the Side - splitter theorem corollary. Since , we can set up a proportion to find the length of . The key is to correctly identify the corresponding segments of the sides of divided by the parallel line .

 

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 with , we have .

 

Step - by - Step Solution

1. First, identify the known values:

, , and .

2. Then, set up the proportion according to the Side - splitter theorem corollary:

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