A Centroid is the point where the triangle’s medians intersect. It is the point through which all the mass of a triangular plate seems to act. The Centroid of Triangle is also known as 'center of gravity ', 'center of mass', or 'barycenter'.
A median is a line which joins a vertex of a triangle to the midpoint of the opposite side. The point through which all the three medians of a triangle pass is called centroid of the triangle and it divides each median in the ratio 2:1.
Example:
Find the Centroid of a triangle with vertices (1,2) (3,4) and (5,0)
Centroid of triangle = [( x1 + x2 + x3)/3, (y1 + y2 + y3)/3]
= [ (1 + 3 + 5) / 3 , (2 + 4 + 0) / 3 ] = (9/3 , 6/3) = (3,2)