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 $x$ ?

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Medians And Areas

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.