Maximize Triangle Area (Part 1)

Topic:Area, Calculus, Differential Calculus, Integral Calculus

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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दो समांतर रेखाओं और एक तिर्यक रेखा से बने कोणों का सत्यापन
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Matrices
Equations
Volume
Ellipse
Cuboid