Question

Find the co-ordinates of the centroid of the triangle whose vertices are (4,7) , (8,4) & (7,11).

• A. $(\frac{17}{3},\frac{19}{3})$
• B. $(\frac{11}{3},\frac{19}{3})$
• C. $(\frac{19}{3},\frac{22}{3})$
• D. $(\frac{22}{3},\frac{22}{3})$

Answer 1

The correct option is C $(\frac{19}{3},\frac{22}{3})$

Here $x_1=4,x_2=8\&x_3=7$
And $y_1=7,y_2=4\&y_3=11$

Centroid $(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})=(\frac{4+8+7}{3},\frac{7+4+11}{3})(x,y)=(\frac{19}{3},\frac{22}{3}).$