Geometry

Question Analysis

The main focus is applying the Side - splitter theorem corollary. Given , we can set up a proportion using the segments of the sides of to find the length of . We know , , and , and we 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, identify the known values:

, ,