Question

A(2, -2), B(4, 3) and C(-3, 11) are the vertices of $\Delta$ABC. If G is centroid of triangle, then the co-ordinate of G is:

• A. (1, 4)
• B. (1, -4)
• C. (-1, 4)
• D. (-1, -4)

Answer 1

The correct option is A (1, 4)

$A=(x_1,y_1)=(2,-2)$
$B=(x_2,y_2)=(4,3)$
$C=(x_3,y_3)=(-3,11)$
$G=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$
$G=(\frac{2+4+(-3)}{3},\frac{(-2)+3+11}{3})=(\frac{3}{3},\frac{12}{3})=(1,4)$

Hence, the answer is $(1,4)$.