Question

MNOP is a parallelogram and PN is one of its diagonals. Show that ar(triangle PMN)=ar(trianglePON)

Answer 1

we have a parallelogram MNOP.

in triangle PMN and PON , 
MN   =    PO [ as we know opposite sides of a parallelogram are equal. ]

AND
MP   =   ON [ as we know opposite sides of a parallelogram are equal. ]
NP   = NP [ COMMON SIDE ]
 
hence , triangle PMN congruent to triangle PON.

SO CONGRUENT TRIANGLES HAVE EQUAL AREA