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If the sum of the lengths of the hypoten...

If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given, show that the area of the triangle is maximum when the angle between these sides is `pi/3dot`

Answer

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If the sum of the lengths of the hypotenues and a side of a right angled triangle is given, show that the area of the triangle is maximum when the angle between them is pi/3 .

If the sum of lengths of hypotenuse and a side of a right angled triangle is given,show that area of triangle is maximum,when the angle between them is (pi)/(3) .

Knowledge Check

  • If the sum of lengths of the hypotenuse and another side of a right angled triangle is given, show that the area of the triangle is max. when, the angle between these is

    A
    `pi/12`
    B
    `pi/4`
    C
    `pi/3`
    D
    `pi/2`

  • In the right triangle BAC, angle A=pi/2 and a+b=8 . The area of the triangle is maximum when angle C , is

    A
    `pi//3`
    B
    `pi//4`
    C
    `pi//6`
    D
    `pi//2`

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