Question

Find the Centroid of the triangle with vertices $A(3,-7),B(5,1)$ and $C(-1,-5)$

Answer 1

Let A , B and C are three vertices of the triangle

$(x_1,y_1)=A(3,-7)$

$(x_2,y_2)=B(5,1)$

$(x_3,y_3)=C(-1,-5)$

$Centroid\left(G\right)=(\frac{x1+x2+x3}{3},\frac{y1+y2+y3}{3})$

$=(\frac{3+5-1}{3},\frac{-7+1-5}{3})$

$G=(\frac{7}{3},\frac{-11}{3})$