Maximize Triangle Area (Part 1)

Thème :Aire, Calcul, Calcul Différentiel, Calcul Intégral

Thanks to my son Jeff for this application of INTEGRAL and DIFFERENTIAL Calculus (rolled into one problem).........this appeared on the 2015 PUTNAM exam.

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Sum of Squares: Proof without Words
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Inégalités
Fonctions Logarithmiques
Constructions
Similitude
Orthocentre