Prove it!

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Fatin Farhan
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Prove it!

Unread post by Fatin Farhan » Fri Jan 03, 2014 3:17 pm

Given triangle $ABC$, points $P, Q, R$ are taken on $BC, CA, AB$ so that $BP:PC=CQ:QA=AR:RB=m:n$.
Prove that area $(PQR)$ : area $(ABC)=m^3+n^3:(m+n)^3$
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