Question

A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the co-ordinates of the centroid of triangle ABC.

Answer 1

Co-ordinates of the centroid -

`x = (x_1 + x_2 + x_3)/3`

= `(1 + 3 + 7)/3`

= `11/3`

`y = (y_1 + y_2 + y_3)/3`

= `(4 + 2 + 5)/3`

= `11/3`

The co-ordinates of the centroid of triangle ABC are `(11/3, 11/3)`.