﻿ Definition and examples median of a triangle | define median of a triangle - geometry - Free Math Dictionary Online

# Median of a Triangle

## 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.

A.
B.
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D.

### 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.
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