Geometry

Question Analysis

This question focuses on using the property of a median in a triangle to find the value of . The key is to utilize the fact that a median bisects the opposite side, enabling us to set up an equation based on the equal lengths of the two segments of the bisected side.

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Since  is a median of , we know that .

2. We are given that  and

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