Question
If are the vertices of triangle ABC, then prove that its centroid G is
Solution
Proof: Let AD be the median, where D is mid-point of BC, then D is
Since G is given to be the centroid of the triangle ABC, then G lies on AD and divides it in the ratio 2:1.
∴ The co-ordinates of G are
or
Since G is given to be the centroid of the triangle ABC, then G lies on AD and divides it in the ratio 2:1.
∴ The co-ordinates of G are
or