7

Part of 2009 India IMO Training Camp

Problems(1)

India TST : Day3 :Problem 1

Source: hard

P

be any point in the interior of a

\triangle ABC

.Prove That \frac{PA}{a}\plus{}\frac{PB}{b}\plus{}\frac{PC}{c}\ge \sqrt{3}.

inequalitiesgeometry proposedgeometry