If D, E, F are the midpoints of the sides `bar(BC), bar(CA), bar(AB)` of `DeltaABC` where A =(-3, 4), B = (-1, -2), C = (5, 6) then the area of `DeltaDEF =`

If the midpoint of the sides bar(BC), bar(CA), bar(AB) of DeltaABC are (3, -3), (3, -1), (1, 1) respectively then the vertices A, B, C are

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

The midpoints of the sides BC, CA and AB of a triangle ABC are D(2,1), E(-5,7)and F(-5, -5) respectively. Find the equations of the sides of triangle ABC .

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.

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

D, E and F are the mid-points of the sides AB, BC and CA of an isosceles triangle ABC in which AB = BC. Prove that DeltaDEF is also isosceles.

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 .

If (2, 1), (-1, -2), (3, -3) are the mid points of the sides BC, CA, AB respectively of DeltaABC , then the equation of the perpendicular bisector of AB is ax+by+c=0 , then (a+b+c) is _______.

If the mid points of the sides of a triangle AB, BC and CA are D(1, 2, -3), E(3, 0, 1) and F(-1,1,-4), then find the centroid of the triangle.

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB of the equilateral DeltaABC. Prove that DeltaDEF is also an equilateral triangle.