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maximum area

01 Maximum area of triangle of given perimeter

Problem 1
Show that the largest triangle of given perimeter is equilateral.
 

004-triangle-geven-perimeter.gif

 

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Length of one side for maximum area of trapezoid (solution by Calculus)

Problem
BC of trapezoid ABCD is tangent at any point on circular arc DE whose center is O. Find the length of BC so that the area of ABCD is maximum.
 

Trapezoid with one side tangent to the circle

 

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Length of one side for maximum area of trapezoid (solution by Geometry)

Problem
BC of trapezoid ABCD is tangent at any point on circular arc DE whose center is O. Find the length of BC so that the area of ABCD is maximum.
 

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