Definition
of the Centroid of a Triangle
The Centroid is a point of concurrency of the triangle. It is the point where all 3 medians intersect and is often described as the triangle's center of gravity or as the barycent.
Properties of the Centroid It is formed by the intersection of the medians.
 It is one of the points of concurrency of a triangle.
 It is always located inside the triangle (like the incenter, another one of the triangle's concurrent points)
 The centroid divides each median in a ratio of 2:1. In other words, the centroid will always be 2/3 of the way along any given median. See bottom set of pictures.
Picture of Centroid of an Acute Triangle
Picture of Centroid of an Obtuse Triangle
Pictures of the 2:1 ratios formed by centroid and medians
Practice Problems

Related Links:
 Triangles
 Triangle Types
 Interactive Triangle
 images
 Free Triangle Worksheets