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 middle points of the sides of the triangle ABC, then

D, E and F are respectively the mid-points of sides AB. BC and CA of triangleABC . Find the ratio of the areas of triangleDEF and triangleABC .

D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a Delta A B C . Determine the ratio of the areas of D E F and A B C .

If D (-(1)/(2),(5)/(2)) , E (7,3) and F ((7)/(2),(7)/(2)) are the mid - points of sides of triangle ABC , then find the area of the triangleABC .

D , E ,a n dF are the middle points of the sides of the triangle A B C , then (a) centroid of the triangle D E F is the same as that of A B C (b) orthocenter of the tirangle D E F is the circumcentre of A B C

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.

In A B C ,\ D and E are the mid-points of A B and A C respectively. Find the ratio of the areas of A D E and A B C .

A B C D is a trapezium with parallel sides A B=a\ a n d\ D C=bdot If E\ a n d\ F are mid-points of non-parallel sides A D\ a n d\ B C respectively, then the ratio of areas of quadrilaterals A B F E\ a n d\ E F C D is: a : b (b) (a+3b):(3a+b) (3a+b):(a+3b) (d) (3a+b):(3a+b)

Let A B C D be a parallelogram of area 124\ c m^2 . If E\ a n d\ F are the mid-points of sides A B\ a n d\ C D respectively, then find the area of parallelogram A E F D

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.