MathDB

496

Part of 1989 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 496 All Soviet Union MO 1989 a^2+b^2 +c^2 +4abc < 1/2, perimeter 1 triangle

Source:

8/13/2019
A triangle with perimeter 11 has side lengths a,b,ca, b, c. Show that a2+b2+c2+4abc<12a^2 + b^2 + c^2 + 4abc <\frac 12.
geometryperimetergeometric inequalityinequalities