D, E, F are the mid points of side AB, BC, AC prove that BDEF is a parallelogram whose area is half that of `Delta` ABC

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

Prove that the area of the euilateral traingle described on the side of a square is half the area of the equilatiral triangle described on it's square . OR In Delta ABC D,E, F are the midpoints of te sides BC, AC and AB respectively. Find the rations of the areas of Delta DEF Delta ABC

Let ABC be a triangle. Three points D, E and F are on the sides AB, AC and BC respectively so that BDEF is a parallelogram. M and N are mid points of the sides DE and EF. If vector bar(MN)=(1)/(4)bar(AC) . Then find the ratio in which D and F divides the sides AB and BC.

In Delta ABC, D, E, F are respectively the mid points of the sides AB, BC and AC. Find ratio of the area of Delta DEF and area of Delta ABC .

ABC is a triangle in which D, E and F are the mid-points of the sides AC, BC and AB respectively. What is the ratio of the area of the shaded to the unshaded region in the triangle?

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

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 .