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

Question

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 (A) (π/6) (B) (π/4) (C) (5 π/12) (D) (π/3)

Tardigrade Admin · Accepted Answer

mathrmA=( mathrmx √ mathrmc2-2 mathrmcx/2) f(x)=4 A2=x2(c2-2 c x)

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

$\frac{π}{6}$

$\frac{π}{4}$

$\frac{5 π}{12}$

$\frac{π}{3}$

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