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Outline

  1. isoperimetric inequalities
    1. Heron's formula
    2. Brahmagupta's formula for cyclic quadrilaterals
    3. Maximum area with given perimeter: quadrilateral
    4. Comparing Arithmetic and Geometric Mean
    5. isoperimetric inequality in rectangles
    6. Rectangle area function by fixed perimeter and variable length. Which is the rectangle with maximum area?
    7. Existence of quadrilateral of given side lengths

isoperimetric inequalities

Author:Cristina Chiusa

  • Heron's formula

  • Brahmagupta's formula for cyclic quadrilaterals

  • Maximum area with given perimeter: quadrilateral

  • Comparing Arithmetic and Geometric Mean

  • isoperimetric inequality in rectangles

  • Rectangle area function by fixed perimeter and variable length. Which is the rectangle with maximum area?

  • Existence of quadrilateral of given side lengths

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