Geometry

Question Analysis

This question focuses on using the property of a median in a triangle to find the length of a segment. The key is to understand that a median bisects the opposite side.

 

Key Concept Explanation

A median of a triangle is a line segment that joins a vertex to the mid - point of the opposite side. In , since  is a median,  is the mid - point of , meaning .

 

Step - by - Step Solution

1. We are given that .

2. Because  is a median of ,  is the mid - point of .

3. By the definition of a mid - point, .

4. Substituting the value of , we get