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Prove that the area of right-angled triangle of given hypotenuse is maximum when the triangle is…

Mathematics20206 marksDerivation
Prove that the area of right-angled triangle of given hypotenuse is maximum when the triangle is isosceles.

Given: Right-angled triangle of given hypotenuse

To show: Area of right-angled triangle is maximum when the triangle is isosceles

Answer

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Applications of Derivatives

From ISC 2020 Mathematics Paper 1, question 12(b).