Question 3. The mid-points of the sides AB and AC of AABC respectively D And E are Prove that BE + DC = BC [2004,07,15,16]

In the given Fig. 3, in DeltaABC, D and E are the mid point of the sides AB and AC respectively. Find the length of DE. Prove that DE = (1)/(2) BC.

E and F are the mid points of non-parallel sides AD and BC respectively of a trapezium prove that EF||AB.

If D and E are the mid-points of sides AB and AC of a triangle ABC respectively, show that vec BE+vec DC=(3)/(2)vec BC

If D and E are the mid-points of sides AB and (AC of a triangle ABC respectively,show that )/(BE)+vec DC=(3)/(2)vec BC

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: BDEF is a parallelogram.

if D,E and F are the mid-points of the sides BC,CA and AB respectively of the DeltaABC and O be any points, then prove that OA+OB+OC=OD+OE+OF

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

if D,E and F are the mid-points of the sides BC,CA and AB respectively of the DeltaABC and O be any points, then prove that OA+OB+OC=OD+OE+OF