The Total solution for NCERT class 6-12
Pand Q are any two points lying on the sides DC and AD respectively of aparallelogram ABCD. Show that ar (APB) = ar (BQC).
Itcan be observed that ΔBQC and parallelogram ABCD lie on the same base BC andthese are between the same parallel lines AD and BC.
∴Area (ΔBQC) = Area (ABCD) … (1)
Similarly,ΔAPB and parallelogram ABCD lie on the same base AB and between the sameparallel lines AB and DC.
∴ Area (ΔAPB) = Area (ABCD) … (2)
Fromequation (1) and (2), we obtain