creative_2010_19_2_160_168_001

A weighted inequality involving the sides of a triangle


Jian Liu


Abstract

creative_2010_19_2_160_168_abstract

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creative_2010_19_2_160_168

A new weighted inequality involving the sides of a triangle is proved by applying the method of the Difference Substitution, and, as an application, a geometric inequality involving an interior point of the triangle is derived. Finally, two related conjectures which are checked by computer are put forward.

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Author(s)

Liu, Jian