Median divides area in half

A median of a triangle is a segment from a vertex to the midpoint of the opposite side. This median divides the triangle into two smaller triangles of equal area, regardless of the triangle's shape.

Important properties

• The two triangles formed by a median have equal areas.

• The two triangles share a common height from the vertex, and their bases are equal in length (since the median meets the midpoint).

• This property holds for all three medians in any triangle.