Geometric Ineq

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Geometric Ineq

Post Number:#1  Unread postby Atonu Roy Chowdhury » Fri Mar 31, 2017 9:33 pm

Let $h_a$, $h_b$, $h_c$ be the lengths of the altitudes from $A$, $B$, $C$ respectively of a triangle $ABC$. Let $P$ be any point inside the triangle. Prove that
$\frac{PA}{h_b+h_c} + \frac{PB}{h_c+h_a} + \frac{PC}{h_a+h_b} \ge 1$
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Atonu Roy Chowdhury
 
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Re: Geometric Ineq

Post Number:#2  Unread postby Atonu Roy Chowdhury » Fri Apr 14, 2017 3:05 pm

No one even tried? Should I say now "AJ GORIB BOLE" ?
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Joined: Fri Aug 05, 2016 7:57 pm
Location: Chittagong, Bangladesh


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