" (ii) "ar(RQC)=(3)/(8)ar(ABC)

P and Q are respectively the midpoints of sides AB and BC or a triangle ABC and R is the mid-point of AP, show ar(RQC) = 3/8 ar(ABC).

In a triangle ABC,E is the mid-point of median AD.Show that quad ar(BED)=(1)/(4)ar(ABC)

In a ABC,E is the mid-point of median AD Show that ar(BED)=(1)/(4) ar (ABC)

D,E and F are respectively the mid-points of the sides BC, CA and AB of triangle ABC show that (i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4 ar (ABC) (iii) ar (BDEF) = 1/2 ar (ABC)

In Fig.9.16,P is a point in the interior of a parallelogram ABCD.Show that (i) ar(APB)+ar(PCD)=(1)/(2)ar(ABCD)(ii)ar(APD)+ar(PBC)=ar(APB)+ar(PCD)

In a triangle ABC, E is the mid-point of median AD. Show that ar (BED) = (1)/(4) ar (ABC).

If the medians of a triangleABC intersect at G, show that ar(AGB) = ar(AGC) = ar(BGC) = 1/3 ar(ABC)

If the medians of a triangleABC intersect at G, show that ar(AGB) = ar(AGC) = ar(BGC) = 1/3 ar(ABC)