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Weitzenböck's Inequality

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A triangle with side lengths a, b, and c and triangle area Delta satisfies

a^2+b^2+c^2>=4sqrt(3)Delta.

Equality holds iff the triangle is equilateral.

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References

Honsberger, R. Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Washington, DC: Math. Assoc. Amer., p. 104, 1995.

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Weitzenböck's Inequality

Cite this as:

Weisstein, Eric W. "Weitzenböck's Inequality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WeitzenboecksInequality.html

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