# Centroid

The points of concurrency is an important topic in the study of properties of triangles. A median of a triangle is the line segment that joins the midpoint of a side to its opposite vertex. The centroid is the point of concurrency of all the three medians of the triangle. In the case of a triangular plate, the centroid is equivalent to the center of gravity of the plate where the entire weight of the triangle is balanced.

In triangle ABC, D, E and F are correspondingly the midpoints of AB, BC and CA. The three medians AE, BF and CD meet at a common point G, which is called the centroid of the triangle ABC.