Geometry

Question Analysis

This question involves the Side - Splitter Theorem. The main focus is to use the proportionality relationship established by a line parallel to one side of a triangle that intersects the other two sides to find the unknown side length.

 

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 .

 

Step - by - Step Solution

1. First, identify the known side lengths: , , and .

2. According to the Side - Splitter Theorem , substitute the known values into the proportion: