Use Lagrange Multipliers to prove that the triangle with the maximum area that has a given perimeter p is equilateral.(adsbygoogle = window.adsbygoogle || []).push({});

[Hint: Use Heron’s formula for the area of a triangle: A = sqrt[s(s - x)(s - y)(s - z)] where s = p/2 and x, y, and z are the lengths of the sides.]

I have no idea how to do this.

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# Lagrange multipliers and triangles

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