Geometry

Question Analysis

This question is about applying the Side - Splitter Theorem corollary. The key is to use the parallel relationship of and to determine the correct proportion in .

 

Key Concept Explanation

The Side - Splitter Theorem: When a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally. In , since , we can establish a ratio relationship between the segments of the two sides.

 

Step - by - Step Solution

Since in , we know that . This is because the par...