Question

Find the coordinates of the centroid of a triangle whose vertices are (0, 6), (8, 12) and (8, 0).

Answer 1

We know that the coordinates of the centroid of a triangle whose angular points are$(x_1,y_1),(x_2,y_2),(x_3,y_3)are$

$(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

So, the coordinates of the centroid of a triangle whose vertices are (0, 6), (8, 12) and (8, 0) are

$(\frac{0+8+8}{3},\frac{6+12+0}{3})or,(\frac{16}{3},6)$