Question

derive the formula for centroid of a triangle

Answer 1

If the coordinates of three vertices of a triangle are given by (x1,y1x1,y1), (x2,y2x2,y2) and (x3,y3x3,y3). Then the coordinates of centroid of a triangle can be determined using the following formula :

(x1+x2+x33,y1+y2+y33)(x1+x2+x33,y1+y2+y33)


Where, x coordinates of the vertices of a triangle are x1x1, x2x2 and x3x3.

Likewise, y coordinates of the vertices of a triangle are y1y1, y2y2 and y3y3