On the extension of the Erdös-Mordell type inequalities (original) (raw)

Abstract

We discuss the extension of inequality R A ≥ c a r b + b a r c to the plane of triangle △ABC . Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdös-Mordell inequality, and some inequalities of Erdös-Mordell type.

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  31. Branko Malešević ( CORRESPONDING AUTHOR ) Faculty of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11000 Belgrade, Serbia e-mail: malesevic@etf.rs Maja Petrović ( CORRESPONDING AUTHOR ) Faculty of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, 11000 Belgrade, Serbia e-mail: majapet@sf.bg.ac.rs Marija Obradović, Faculty of Civil Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11000 Belgrade, Serbia e-mail: marijao@grf.bg.ac.rs