Question

Find the co-ordinates of the centroid of the triangle whose vertices are (3,-5) , (4,3) , (11,-4).

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

Answer 1

The correct option is D (6 , -2)

Here $x_1=3,x_2=4\&x_3=11$
And $y_1=-5,y_2=3\&y_3=-4$

Co-ordinates of centroid
$(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})=(\frac{3+4+11}{3},\frac{-5+3-4}{3})=(\frac{18}{3},\frac{-6}{3})$

$\therefore$ Centriod of the triangle is (6 , -2).