Q. 234.6( 12 Votes )

In Fig., ar

Answer :

It is given that:

Area (ΔDRC) = Area (ΔDPC)




As ΔDRC and ΔDPC lie on the same base DC and have equal areas, therefore, they must lie between the same parallel lines




DC || RP


Therefore, DCPR is a trapezium. It is


Also given that:


Area (ΔBDP) = Area (ΔARC)


Area (BDP) − Area (ΔDPC) = Area (ΔARC) − Area (ΔDRC)




Area (ΔBDC) = Area (ΔADC)


Since ΔBDC and ΔADC are on the same base CD and have equal areas, they must lie between the same parallel lines


AB || CD


Therefore,


ABCD is a trapezium


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses