Use Lagrange multipliers to show that a triangle with perimeter p with the highest area is an equilateral triangle. (Hint: Use Heron's formula for the area of a triangle with perimenter p and side lengths a, b, c. The formula is attatched to the question)
Use Lagrange multipliers to show that a triangle with perimeter p with the highest area is an equilateral triangle. (Hint: Use Heron's formula for the area of a triangle with perimenter p and side lengths a, b, c. The formula is attatched to the question)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 3E
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Use Lagrange multipliers to show that a triangle with perimeter p with the highest area is an equilateral triangle. (Hint: Use Heron's formula for the area of a triangle with perimenter p and side lengths a, b, c. The formula is attatched to the question)
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