Question

If the co-ordinates of the mid points of the sides of a triangle are (1, 1),(2, 3) and (3, 4), then find its centroid.

Answer 1

coordinate of centroid =

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

(1+2+3/3 , 1+3+4/3)

(6/3, 8/3)

(2 , 8/3)

Therefore coordinates of centroid=(2 ,8/3)