## BdMO National 2012: Junior 9

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### BdMO National 2012: Junior 9

Problem 9:
Given triangle $ABC$, the square $PQRS$ is drawn such that $P,\ Q$ are on $BC,\ R$ is on $CA$ and $S$ is on $AB$. Radius of the triangle that passes through $A,\ B,\ C$ is $R$. If $AB = c,\ BC = a,\ CA = b,$ Show that $\frac{AS}{SB}=\frac{bc}{2aR}$
Every logical solution to a problem has its own beauty.

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### Re: BdMO National 2012: Junior 9

($8585^{th}$ post) For a hint :viewtopic.php?f=25&t=1659
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Tahmid Hasan
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