BdMO National Junior 2008/9

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
samiul_samin
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BdMO National Junior 2008/9

Unread post by samiul_samin » Sun Feb 24, 2019 10:06 am

In the convex quadrlateral $ABCD$,points $M,N$ lie on side $AB$ such that $AM=MN=NB$ and points $P,Q$ lie on $CD$ such that $CP=PQ=QD$.Prove that $AMPC=\dfrac 13 $Area of $ABCD$.

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