A (3, 2) and B (−2, 1) are two vertices of a triangle ABC whose centroid G has the coordinates `(5/3,-1/3)`Find the coordinates of the third vertex C of the triangle.
We have to find the co-ordinates of the third vertex of the given triangle. Let the co-ordinates of the third vertex be(x,y).
The co-ordinates of other two vertices are A (3, 2) and C (−2, 1)
The co-ordinate of the centroid is`(5/3,-1/3)`
We know that the co-ordinates of the centroid of a triangle whose vertices are
Compare individual terms on both the sides-
So the co-ordinates of third vertex `(4,-4)`