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 the relationship between the median and the side it bisects.

 

Key Concept Explanation

A median of a triangle is a line segment that joins a vertex to the mid - point of the opposite side. So, if  is a median of , then  is the mid - point of , which means .

 

Step - by - Step Solution

1. We are given that .

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

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

4. Substituting the value of , we get .

 

Option Analysis

A.: Incorrect. This is the length of

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