Centroid of a triangle Definition:
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.
Centroid Formula:
Centroid
where
(x_{1}, y_{1}) (x_{2}, y_{2})
(x_{3}, y_{3})be the coordinates of the vertices of the triangle.
Centroid Diagram
Centroid Example:
Case 1: Find the centroid of a triangle whose vertices are (1, 3), (2, 1) and (8, 4).
x_{1} = 1, y_{1} = 3
x_{2} = 2, y_{2} = 1 and
x_{3} = 8, y_{3} = 4
Substitute in the formula as :
The above example will clearly illustrates how to calculate the Centroid of a triangle manually.

