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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'.

Table of Contents:

Formula

**{(x1+x2+x3)/3 , (y1+y2+y3)/3}**

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)**