A rectangle PQRS is placed inside the scalene triange ABC as shown. If the area of Triangle ABC is constant, prove that the maximum area of the rectangle is one-half (1/2) the area of triangle ABC.</SPAN>

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- December 2nd 2009, 02:14 AMLukybearOptimisation Proof
A rectangle PQRS is placed inside the scalene triange ABC as shown. If the area of Triangle ABC is constant, prove that the maximum area of the rectangle is one-half (1/2) the area of triangle ABC.</SPAN>