Medians of Triangle Meet at Centroid

Theorem
Let $\triangle ABC$ be a triangle.

Then the medians of $\triangle ABC$ meet at a single point.

This point is called the centroid of $\triangle ABC$.

Also see

 * Definition:Centroid of Triangle


 * Position of Centroid of Triangle on Median, which shows that $G$ is $\dfrac 1 3$ the way along each median