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  4. The sum of lengths of the hypotenuse and another side of a right angled triangle is given. The area of the triangle will be maximum if the angle between them is

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Q. The sum of lengths of the hypotenuse and another side of a right angled triangle is given. The area of the triangle will be maximum if the angle between them is

Application of Derivatives

Solution:

$\mathrm{A}=\frac{\mathrm{x} \sqrt{\mathrm{c}^{2}-2 \mathrm{cx}}}{2}$
$f(x)=4 A^{2}=x^{2}\left(c^{2}-2 c x\right)$

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