If P, Q, R divide the sides BC, CA and AB of `DeltaABC` in the same ratio, prove that the centroid of the triangles `ABC and PQR` coincide.

If L,M,N divide the sides BC,CA and AB of a triangle ABC in the same ratio, then show that the traiangle ABC and dLMN have the same centroid.

P, Q, R are the midpoints of AB, BC, CA of DeltaABC and the area of DeltaABC is 20. The area of DeltaPQR is

Vertices of a triangle ABC are A (3,5) B(7,4) and C (10,8). The mid point of the side BC, CA and AB are D,E and F respectively. Are the centroids of triangle ABC and d triangle DEF are same or not?

P, Q, R are the midpoints of the sides AB, BC and CA of the triangle ABC and O is a point within the triangle, then OA + OB + OC =

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .