
(i) Median AD of the triangle will divide the side BC in two equals parts. So D is themidpoint of side B.
Coordinates of D

(ii) Point P divides the side AD in a ratio 2:1
Coordinates of P

(iii) Median BE of the triangle will divide the side AC in two equal parts. So E is the midpoint of side AC.

Point Q divides the side BE in a ratio 2:1

Median CF of the triangle will divide the side AB in two equal parts. So F is the midpoint of side AB.

(iv) Now we may observe that coordinates of point P, Q, R are same. So, all these are representing same point on the plane i.e. centroid of the triangle.