Home
Class 12
MATHS
Three vertices of a triangle are A (1, 2...

Three vertices of a triangle are `A (1, 2), B (-3, 6) and C(5, 4)`. If D, E and F are the mid-points of the sides opposite to the vertices A, B and C, respectively, show that the area of triangle ABC is four times the area of triangle DEF.

Promotional Banner

Similar Questions

Explore conceptually related problems

If D, E and F are the mid-points of the sides of an equilateral triangle ABC, then the ratio of the area of triangle DEF and DCF is :

If D,E,F are the mid-point of sides AB,BC and CA respectively of triangle then the ratio of the areas of triangles triangleDEF and ABC is

If D ,\ E and F are the mid-points of the sides of a /_\A B C , the ratio of the areas of the triangles D E F and ABC is .......

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 =………..

If D,E,F are mid-points of the sides of triangle ABC , prove (by vectors) that area of triangle DEF= 1/4 area 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.

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?

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 .