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India IMO Training Camp
2009 India IMO Training Camp
7
India TST : Day3 :Problem 1
India TST : Day3 :Problem 1
Source: hard
May 22, 2009
inequalities
geometry proposed
geometry
Problem Statement
Let
P
P
P
be any point in the interior of a
△
A
B
C
\triangle ABC
△
A
BC
.Prove That \frac{PA}{a}\plus{}\frac{PB}{b}\plus{}\frac{PC}{c}\ge \sqrt{3}.
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