Question

Find the co-ordinates of the centroid of a triangle whose vertices are $(3,-5),(-6,4)$ and $(9,-8)$

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

Answer 1

Answer: (B)

$(2,-3)$

Centroid of a triangle with vertices
${(x}_1,y_1);{(x}_2,y_2)$ and ${(x}_3,y_3)$ is calculated by the formula $(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

Hence, centroid of the given triangle, $=(\frac{3-6+9}{3},\frac{-5+4-8}{3})=(2,-3)$