Problem: centroid of a triangle whose vertices are A(4,1),B(-2,-3),C(6,7) [ Calculator, Method and examples ]
Solution:
Your problem `->` centroid of a triangle whose vertices are A(4,1),B(-2,-3),C(6,7)
If `A(x_1,y_1),B(x_2,y_2)` and `C(x_3,y_3)` are the three vertices of the triangle ABC,
then the centroid of the triangle ABC is given by `G(x,y)=((x_1+x_2+x_3)/3,(y_1+y_2+y_3)/3)`
The given points are `A(4,1),B(-2,-3),C(6,7)`
`:. x_1=4,y_1=1,x_2=-2,y_2=-3,x_3=6,y_3=7`
Let `G(x,y)` be the centroid of the triangle ABC
`:. x=(x_1+x_2+x_3)/3`
`=(4-2+6)/3`
`=8/3`
`=2.6667`
`:. y=(y_1+y_2+y_3)/3`
`=(1-3+7)/3`
`=5/3`
`=1.6667`
`:.` Centroid of triangle ABC is `G(2.6667,1.6667)`
