**Definition of Median of a Triangle**

- Median of a Triangle is a line segment joining a vertex of the triangle to the midpoint of the opposite side of the triangle.

**More about Median of a Triangle**

- The three medians of a triangle are concurrent and the concurrent point is called the centroid of the triangle.
- The centroid of a triangle divides the medians in the ratio 2:1, i.e. the length of the median from the vertex to the centroid is twice the length of the median from the centroid to the opposite side of the vertex.

**Example of Median of a Triangle**

**Solved Example on Median of a Triangle**

Identify the median of a triangle.

Choices:

A.

B.

C.

D.

Correct Answer: A

Solution:

Step 1:Median of a triangle is a line segment from a vertex of the triangle to the midpoint of the opposite side of the triangle.

Step 2:is the only median drawn from the vertex A to the midpoint of the opposite side of .

Step 3:So, is the median of a triangle.

**Related Terms for Median of a Triangle**

- Centroid
- Line Segment
- Median
- Midpoint
- Side
- Triangle