SOME USEFUL INEQUALITIES FOR TRIANGLES

Authors

  • Rajabova Nilufar Komiljonovna

Keywords:

triangle, inequality, theorem, area , Klamkin’s inequality, , circumcircle , incircle

Abstract

In this note we establish conditions proving the theorems of A.Oppenheim and Klamkin , then we solve some problems.Below, we let denote the sides BC ,AC, AB, circumradius, inradius, semiperimeter, area of the triangle ABC respectively.

References

Matematica-Bulgaria , Revista de matematica din Bulgaria din 1986

Gazeta Matematica seria B

Dusan Djukic , Ivan Matic , Belgrade 2010 ,The IMO Compendium from 1959 to 2009.

Olympiad geometry.Official site of math. https:// artofproblemsolving.com

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Published

2021-08-03

Issue

Section

Статьи