O is any point on the diagonal PR of a parallelogram PQRS prove that ar(PSO) = ar(PQO) - Maths - Areas of Parallelograms and Triangles

Question

O is any point on the diagonal PR of a parallelogram PQRS prove
that ar(PSO) = ar(PQO)

pulkitsapra97... · Accepted Answer

draw AS and BQ pependiculars on PR from S and Q resp
then AS= BQ (peependiculars drawn from opp verices of a IIgm are
equal)
thus ar of POS= 1/2*PO*AS & ar of PQO= 1/2*PO*BQ but as AS=
BQ hence ar of 2 tri are equal

O is any point on the diagonal PR of a parallelogram PQRS . prove that ar(PSO) = ar(PQO) .