What is it about?
Using Lagrange's multipliers, it is proved that the quadrilateral having given side lengths and maximal area is the cyclic one.
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Why is it important?
It illustrates the power of the method of Lagrange's multipliers by using it in proving a known theorem.
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This page is a summary of: 100.22 The maximal area property of cyclic quadrilaterals, The Mathematical Gazette, June 2016, Cambridge University Press,
DOI: 10.1017/mag.2016.75.
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