
Use Lagrange multipliers to prove that the triangle with maximum area that has a given perimeter p is equilateral.
Hint: Use Heron’s formula for the area:
where s = p/2 and x, y, z are the lengths of the sides.

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Chapter 14 Solutions
Bundle: Multivariable Calculus, 8th + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Single-Term
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