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 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 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)

The diagonals of quadrilateral A B C D intersect at O . Prove that (a r( A C B))/(a r( A C D))=(B O)/(D O)

If A B C D is a parallelogram, the prove that a r( A B D)=a r( B C D)=a r( A B C)=a r( A C D) =1/2a r (||^(gm) A B C D)

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.

Medians of A B C intersect at G . If a r\ ( A B C)=27\ c m^2, then a r\ ( A B G C)= 6\ c m^2 (b) 9\ c m^2 (c) 12\ c m^2 (d) 18 c m^2

Medians of A B C intersect at G . If a r\ ( A B C)=27\ c m^2, then a r\ ( B G C)= (i) 6\ c m^2 (b) 9\ c m^2 (c) 12\ c m^2 (d) 18 c m^2

In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ ( B E D)=1/4a r\ ( A B C)

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 .

Diagonals A C a n d B D of a quadrilateral A B C D intersect at O in such a way that a r ( A O D)=a r ( B O C)dot Prove that A B C D is a trapezium.