In each of the following vertices of a triangles are given. Find the coordinates of centroid of each triangle.
`(3, -5), (4, 3), (11, - 4)`

Explanation

Let `A(3,-5), B(4,3)` and `C(11,-4)`.
Suppose the coordinates of point A are `(x_(1),y_(1)),` coordinates of point B are `(x_(2),y_(2))` and coordinates of point C are `(x_(3),y_(3))`
`:.x_(1)=3,y_(1)=-5,x_(2)=4,y_(2)=3,x_(3)=11` and `y_(3)=-4`.
Let `G(x,y)` be the centroid.
By centroid formula,
`x=(x_(1)+x_(2)+x_(3))/3, y=(y_(1)+y_(2)+y_(3))/3`
`:.x=(3+4+11)/3, :.y=(-5+3+(-4))/3`
`:.x_(3)=18/3, :.y=(-6)/3`
`:.x_(3)=6, :.y=-2`
The coordinates of the centroid are (6,-2).