If the sum of the lengths of the hypo...

If the sum of the lengths of the hypotenues and a side of a right angled triangle is given, show that the area of the triangle is maximum when the angle between them is `pi//3` .

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If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given,show that the area of the triangle is maximum when the angle between these sides is (pi)/(3).

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