Question

PQRS is a parallelogram.A,B,C,D are the mid points of sides PQ,QR,RS and PS respectively. if ar(DAC)=10cm sq.,find ar(ABC).

Answer 1

MID POINT OF PQ=A
MID POINT OF SR=C
SP=QR
PQ=SR
THE LINE AC DIVIDE THE PARALLELOGRAM PQRS INTO TWO SAME SMALL
PARALLELOGRAMS.

IN THE PARALLELOGRAM PACS PA II CS
AC=PS
LOOK INTO THE ΔDAC
AREA=1/2*B*H
10=1/2*AC*ED

IN THE PARALLELOGRAM AQCR AC II QR
SP=AC=RQ

LOOK INTO THE ΔABC
AC=BASE
BE=DE=H
SO THE AREA OF THE TRIANGLE ABC IS EQUAL TO DAC
=10