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 a DeltaABC and O is any point, show that (i) AD+BE+CF=0 (ii) OE+OF+DO=OA

If D, E and F be the middle points of the sides BC,CA and AB of the DeltaABC , then AD+BE+CF is

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.

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

D, E and F are the mid-points of the sides BC, CA and AB respectively of Delta ABC and G is the centroid of the triangle, then vec(GD) + vec(GE) + vec(GF) =

If D(3,-2) , E(-3,1) and F(4,-3) are the mid-points of the sides BC, CA and AB respectively of Delta ABC , find the co-ordinates of point A , B and C .

In Delta ABC, AB = AC. D , E and F are mid-points of the sides BC, CA and AB respectively . Show that : AD and FE bisect each other.

In a Delta ABC, D, E and F are the mid-point of sides BC, CA and AB respectively. If area of Delta ABC = 16 cm^(2) , find the area of trapezium FBCE

If D,E and F are the mid-points of the sides BC, CA and AB respectively of a triangle ABC and lambda is scalar, such that vec(AD) + 2/3vec(BE)+1/3vec(CF)=lambdavec(AC) , then lambda is equal to

If D ,Ea n dF are the mid-points of sides BC, CA and AB respectively of a A B C , then using coordinate geometry prove that Area of △DEF= 1/4 (Area of △ABC)