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Legs of a right triangle are of lengths ...

Legs of a right triangle are of lengths 16 cm and 8 cm. Find the length of the side of the largest square that can be inscribed in the triangle.

Text Solution

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The correct Answer is:
`16/3` cm
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What is the area of the largest square that can be inscribed in a circle of radius 12 cm?

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Knowledge Check

  • The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then the length of the side of the rhombus is

    A
    9 cm
    B
    10 cm
    C
    8 cm
    D
    20 cm

  • If the lengths of the sides of a triangle are 3,5,7 , then the largest angle of the triangle is

    A
    `3pi//4`
    B
    `2pi//3`
    C
    `5pi//6`
    D
    `pi//2`

  • Area of the largest triangle that can be inscribed in a semicircle of radius a is

    A
    `1/2 a^2 sq. units B]`
    B
    `2a^2 sq. units`
    C
    `a^2 sq.units`
    D
    `3/2 a^2 sq.units`

    • Similar Questions

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    Find the length of the diagonal of a square of side 12 cm.

    Find the area (in cm^(2) ) of the circle that can be inscribed in a square of side 8 cm.

    the perimeter of a right angled triangle is 30 cm and its hypotenuse is 13cm . Find the length of the other two sides.

    Sides of a triangle are of length 2 cm, 3 cm and 4 cm respectively. Which of the sets of number are the sides of a triangle, similar to the above trianlge ?

    The area of a circle that can be inscribed in a square of side 10cm is

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