Medians And Areas
Geometry
Level
3
Let \(ABC\) be a triangle with the centroid \(G\) and medians \(AM, BN, CP\). Let \(Q\) be a point on \(AG\) such that \(AQ=GQ\). Define \(R,S\) as the midpoints of \(BG,CG\) respectively. If \(S(\triangle ABC)=x\cdot S(PQNSMR)\), what is value of \(x\)?
by
Nicolae Sapoval