Maximize Triangle Area (Putnam problem)

Posted: January 12, 2016 in Calculus: An Introduction, Integral Calculus, The Derivative
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Determine a position “c” in terms of “a” and “b” that will result in triangle ABC having maximum area. Prove that the areas bounded by f(x) and the line segments AC & BC at that position are equal.

Putnam Area

Click on the link provided here to explore the triangle area above.

 

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