Find the area of `triangle ABC`, the midpoints of whose sides AB, BC and CA are D(3,-1), E(5, 3) and F(1,-3) respectively.

Vertices of a triangle ABC are A (3,5) B(7,4) and C (10,8). The mid point of the side BC, CA and AB are D,E and F respectively. Are the centroids of triangle ABC and d triangle DEF are same or not?

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 .

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 .

The midpoints of the sides BC, CA and AB of a Delta ABC are D(3, 4), E(8, 9) and F(6, 7) respectively. Find the coordinates of the vertices of the triangle.

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.

The incircle of an isosceles triangle ABC , with AB=AC , touches the sides AB , BC , CA at D,E and F respectively. Prove that E bisects BC .

In a triangle ABC, D, E and F are the mid-points of the sides BC, CA and AB, respectively. BE and DF intersect at X. DE and CF intersect at Y. Find XY = ? A) (1)/(2) BC B) (1)/(4) BC C) (1)/(3) BC D) (2)/(3) BC

If the middle points of the sides BC,CA and AB of triangle ABC are (1,3),(5,7) and (-5,7), respectively,then find the equation of the side AB.