Prove that the medians of a triangle intersect one another at two-thirds the distance from the verte

Question

Prove that the medians of a triangle intersect one another at two-thirds the distance from the vertex to the mid-point of the opposite side.

Accepted Answer

Medians of a triangle intersect at 2/3 the distance from vertex to midpoint of the opposite side (centroid)

Proving the Properties of intersection of medians of triangle using Vectors