SOME USEFUL INEQUALITIES FOR TRIANGLES
Keywords:
triangle, inequality, theorem, area , Klamkin’s inequality, , circumcircle , incircleAbstract
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