Medians and centroid

A median of a triangle is a line that passes through a vertex and the midpoint of the opposite side. The three medians of a triangle intersect at one and the same point, which is called the centroid of the triangle.

Theorems of medians and centroid

• A median divides the triangle into two triangles of equal area
• The centroid of a triangle is the centre of mass of the triangle.
• The centroid divides a median in 2:1 ratio from the vertex to the base.
• The segment that connects two medians is parallel to the third side of the triangle.