Centroid of a triangle

Find the centroid of the triangle with vertices $A(0, 0)$, $B(4, 0)$, and $C(2, 3)$. The centroid is the average of the vertex coordinates: $G = \left( \dfrac{0 + 4 + 2}{3}, \dfrac{0 + 0 + 3}{3} \right) = (2, 1)$.

The centroid is also where the three medians meet, dividing each median $2 : 1$ from the vertex. On the graph the three vertices and the large dot at $(2, 1)$ inside them mark the centroid.