If D,E,F are the mid-points of the sides BC, Ca and AB respectively of a triangle ABC, prove by vector method that Area of `Delta DEF` = 1/4 Area of `Delta ABC`

If D,E,F are the mid points of the side BC,CA and AB respectively of a triangle ABC,write the value of vec AD+vec BE+vec CF

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 triangle ABC. Prove that: BDEF is a parallelogram.

D,E,F are the mid points of the sides BC, CA and AB respectively of a triangle ABC . Determine the ratio of the areas of triangle DEF and triangle ABC .

D,E and F are the mid points of the sides BC, CA and AB respectivley of f triangle ABC then the ratio of the areas of triangle DEF and ABC =………..

In trigle ABC, the points D, E, F are the midpoints of the sides BC,CA, and AB respee. Tively. Using vector methed ,show that the area of Delta DEF is equal to (1)/(4) (area of ABC).