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We'd like you to find the largesst (by area) isosceles trapezoid ABCD that can be inscribed in a semicircle of radius \(r\).
Make a conjecture about the characteristics of such a trapezoid - its angles or the upper base or some other feature?
Determine the bases, height, and area of the largest trapezoid able to fit in that semicircle ... is Calculus required?
.: [PRE-CALC], [David Marain], [Optimization].