CENTROID OF A TRIANGLE
The centroid of a triangle is the common intersection
of the three medians. A median of a triangle is the segment from
a vertex to the midpoint of the opposite side.
The centroid cuts the median into a ratio of 2:1. Every
median divides the triangle into two equal areas.
In the above triangle, the medians form three pairs
of congruent triangles and three kite figures. Below , the sides
were changed and the triangles and kites were formed but have
This triangle is obtuse and all of the triangles are
The centroid is 2/3 the distance from any vertex to
the midpoint of the other side.