What is the median of a triangle?

The median of a triangle is a line segment that extends from one vertex to the midpoint of the opposite side. Each triangle has three medians. The medians are concurrent, which means they intersect at a point inside the triangle called the centroid.

The centroid divides each median in the same way. The part of the median between the vertex and centroid is twice as long as the section between the midpoint and centroid.

All three medians of an equilateral triangle are the same length. For an isosceles triangle, the medians that extend from the vertices of the two equal angles are also equal. The medians of a scalene triangle all have different lengths.