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
(x1, y1) (x2, y2)
(x3, y3)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).
x1 = -1, y1 = -3
x2 = 2, y2 = 1 and
x3 = 8, y3 = -4
Substitute in the formula as :
The above example will clearly illustrates how to calculate the Centroid of a triangle manually.
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