Question

The centroid of the triangle whose vertices are (1, 3) (2, 7) and (12, -16) is

• A. (5 , -2)
• B. (5 , 2)
• C. (-5 , 2)
• D. (-5 , -2)

Answer 1

The correct option is A

(5 , -2)

$\text{Centroid of the triangle}$

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

$=(\frac{1+2+12}{3},\frac{3+7+(-16)}{3})$

$=(\frac{15}{3},\frac{10-16}{3})$

$=(5,\frac{-6}{3})$

$=(5,-2)$