MathDB
Inequality

Source: Iran 2005

August 27, 2005
inequalitiesgeometryinradiuscircumcircletrigonometrygeometry proposed

Problem Statement

Prove that in acute-angled traingle ABC if rr is inradius and RR is radius of circumcircle then: a2+b2+c2≥4(R+r)2a^2+b^2+c^2\geq 4(R+r)^2
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