Geometry

Question Analysis

This question is about applying the Side - Splitter Theorem. The key is to use the proportional relationship formed by the parallel line to in . We'll set up a proportion based on the segments of the sides divided by the parallel line and solve for 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, it divides those sides proportionally. In , since , we have .

 

Step - by - Step Solution

1. First, identify the lengths of the known segments:

We know that , , and . Let be , then

Click "Show Answer" to reveal the answer and analysis