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physicsss
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Use Lagrange Multipliers to prove that the triangle with the maximum area that has a given perimeter p is equilateral.
[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.
[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.