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If the sum of the lengths of the hypotenuse 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 \( \frac{\pi}{3} \)
cbse
class12
modelpaper
2009
sec-c
q29
math
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asked
Dec 20, 2012
by
thanvigandhi_1
edited
Jul 16, 2013
by
sreemathi.v
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If the sum of the lengths of the hypotenuse and a side of a right triangle is given, show that the area of the triangle is maximum, when the angle between them is $60^{\circ}$.
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Prove that the area of the right-angled triangle of given hypotenuse is maximum when the triangle is isosceles.
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