Medians And Areas

Geometry Level 3

Let ABCABC be a triangle with the centroid GG and medians AM,BN,CPAM, BN, CP. Let QQ be a point on AGAG such that AQ=GQAQ=GQ. Define R,SR,S as the midpoints of BG,CGBG,CG respectively. If S(ABC)=xS(PQNSMR)S(\triangle ABC)=x\cdot S(PQNSMR), what is value of xx?

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