Find the centroids of the triangles whose vertices have the
coordinates `(-7,6) (2,-2) ` and (8,5).

Explanation

Let A (-7,6) , B (2,-2) and C (8,5).
Let the coordinates of the points A , B and C be ` (x_(1) , y_(1)), (x_(2), y_(2))` and
`(x_(3), y_(3))` respectively
` therefore x_(1) = - 7 , y_(1) - 6 , x_(2) = 2 , y_(2) = - 2, x_(3) - 8 " and " y_(3) = 5`
Let G (x,y) be the centroid.
By dentroid formula
`x = (x_(1) + x_(2) + x_(3))/(3)`
` therefore x = (-7 + 2 + 8)/(3)`
` therefore x = (3)/(3)`
` therefore x = 1`
` y= (y_(1) + y_(2) + y_(3))/(3)`
` therefore y = (6 + (-2) + 5)/(3)`
`therefore y = (9)/(3)`
` therefore y = 3 `
The coordinates of the centroid are (1,3).