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Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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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].
that's it.