The medians `B E` and `C F` of a triangle `A B C` intersect at `G` . Prove that area of ` G B C=a r e aofq u a d r i l a t e r a lA G F Edot`

The medians B E\ a n d\ C F of a triangle A B C intersect at Gdot Prove that area of G B C=a r e a\ of\ q u a d r i l a t e r a l\ AFGE.

The medians B E\ a n d\ C F of a triangle A B C intersect at G . Prove that area of triangle G B C=a r e a\ of\ q u a d r i l a t e r a l\ AFGE .

The medians B E and C F of a triangle A B C intersect at G . Prove that area of triangle G B C =area of quadrilateral AGFE .

If the medians of a triangle A B C intersect at G , show that a r( triangle A G B)=a r( triangle A G C)=a r( triangle B G C)=1/3a r( triangle A B C) . GIVEN : triangle A B C such that its medians A D ,B E and C F intersect at G . TO PROVE : a r(triangle A G B)=a r( triangle B G C)=a r(triangle A G C)=1/3a r(triangle A B C)

If the medians of a triangle A B C intersect at G , show that a r( triangle A G B)=a r(triangle A G C)=a r(triangle B G C)=1/3a r( triangle A B C) . GIVEN : triangle A B C such that its medians A D ,B E and C F intersect at G TO PROVE : a r(triangle A G B)=a r(triangle B G C)=a r(triangle C G A)=1/3 ar (triangle A B C) .

If the medians of a A B C intersect at G , show that a r( A G B)=a r( A G C=a r( B G C)=1/3a r( A B C)dot GIVEN : A B C such that its medians A D ,B E and C F intersect at Gdot TO PROVE : a r( A G B)=a r( B G C)=a r(C G A)=1/3A R( A B C)

If A D is a median of a triangle A B C ,\ then prove that triangles A D B\ a n d\ A D C are equal in area. If G is the mid-point of median A D , prove that a r\ (triangle B G C)=2\a r\ (triangle \ A G C) .

If A D is a median of a triangle A B C ,\ then prove that triangles A D B\ a n d\ A D C are equal in area. If G is the mid-point of median A D , prove that a r\ ( B G C)=2a r\ (\ A G C)

A B C D is a parallelogram in which B C is produced to E such that C E=B C. A E intersects C D\ at F . Prove that a r\ (\ A D F)=\ a r\ (\ E C F) . If the area of \ D F B=3\ c m^2, find the area of ABCD.

E , F , G , H are respectively, the mid-points of the sides of parallelogram A B C D . Show that the area of EFGH is half the area of the parallelogram, A B C Ddot GIVEN : A quadrilateral A B C D in which L ,F ,G ,H are respectively the mid-points of the sides A B ,B C ,C D and D Adot TO PROVE : a r(^(gm)E F G H)=1/2a r(^(gm)A B C D) CONSTRUCTION : Join H and F