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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)


Here `A(4,1), B(-2,-3), C(6,7)` are the given points

`:. 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
`:. 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`


`:. G(2.67,1.67)` is centroid of `/_\ABC`










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