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If sum of hypotenuse and one side of right angled triangle is given,

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If sum of hypotenuse and one side of right angled triangle is given, then area of triangle is maximum if angle between these sides is π/3.

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Let, in right angle triangle, hypotenuse is h and base is x, angle between them is θ.

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​Hence, Area is maximum when θ = π/3

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