Question

The centroid of the triangle with vertices at $(-2,-5),(-2,12)$ and $(10,-1)$ is

• A. $(6,6)$
• B. $(4,4)$
• C. $(3,3)$
• D. $(2,2)$

Answer 1

The correct option is D $(2,2)$

We know that the co-ordinates of the centroid of the triangle with vertices $A(x_1,y_1)=(-2,-5),B(x_2,y_2)=(-2,12)$ and $C(x_3,y_3)=(10,-1)$ is

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

Thus, centroid of triangle $ABC$ is

$(\frac{-2-2+10}{3},\frac{-5+12-1}{3})$

$=\frac{6}{3},\frac{6}{3}$

$=(2,2)$