Geometry

Question Analysis

This question focuses on using the property of a median in a triangle to find the length of a side. The key is to understand that a median of a triangle connects a vertex to the mid - point of 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 , which means .

 

Step - by - Step Solution

1. We are given that .

2. Because  is the mid - point of  (since  is a median), we know that .

3. Substituting the value of  into the equation, we get .

 

Option Analysis

A.: Correct. As calculated,

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