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Question
Class 12MathematicsApplication of Derivatives

Prove that the area of a right angled triangle of given hypotenuse is maximum when the triangle is isosceles.  

Verified Answer

Let h be the hypotenuse of the right-angles triangle, and let x be it altitude.

Then,  

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Prove that the area of a right angled triangle of given hypotenuse is maximum when the triangle is isosceles.   | Shiksha Nation