MathDB
An old geometric inequality - appeared on ILL 1970, P31

Source:

May 21, 2011
inequalitiesgeometry

Problem Statement

Prove that for any triangle with sides a,b,ca, b, c and area PP the following inequality holds: P≤34(abc)2/3.P \leq \frac{\sqrt 3}{4} (abc)^{2/3}. Find all triangles for which equality holds.
Back to ProblemsView on AoPS