Prove it!
Posted: 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 $(ABC)=m^3+n^3:(m+n)^3$
Prove that area $(PQR)$ : area $(ABC)=m^3+n^3:(m+n)^3$