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Prove that the least perimeter of an iso...

Prove that the least perimeter of an isosceles triangle in which a circle of radius r can be inscribed is `6sqrt3r`.

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Prove that the least perimeter of an isosceles triangle in which a circle of radius r can be inscribed is 6sqrt(3)r.

Prove that the least perimeter of an isosceles triangle in which a circle of radius can be inscribed is 6rsqrt3 .

Knowledge Check

  • Area of an equilateral triangle inscribed in a circle of radius a is

    A
    `sqrt3 a ^(2) //4`
    B
    `pi a ^(2) //3`
    C
    `3 sqrt3 a ^(2) //4`
    D
    `sqrt3 pi a ^(2) //4`

  • An equilateral triangle is inscribed in a circle of radius 6cm. Find its side.

    A
    `6sqrt3`
    B
    `6/sqrt3`
    C
    `8sqrt3`
    D
    `2sqrt3`

  • The perimeter of a square circumscribed about a circle of radius r is -----

    A
    A)2r
    B
    B)4r
    C
    C)8r
    D
    D)`21pir`

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