Question

The co-ordinates of the centroid of a triangle with vertices (−6, −3), (0, 0) and (12, −6) are ______.

Options

• (2, 3)

• (−2, 3)

• (2, −3)

• (−2, −3)

Answer 1

The co-ordinates of the centroid of a triangle with vertices (−6, −3), (0, 0) and (12, −6) are (2, −3).

Explanation: 

By formula,

Centroid of triangle = `((x_1+x_2+x_3)/3, (y_1+y_2+y_3)/3)`

Substituting values we get :

Centroid = `((−6 + 0 + 12)/3, (−3 + 0 + (−6))/3)`

= `(6/3, (−9)/3)`

= (2, −3)