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In the figure, a semicircle with its dia...

In the figure, a semicircle with its diameter on the hypotenuse of a right angled triangle, is shown touching the remaining sides of the triangle. The two parts of the hypotenuse made by the centre of the semicircle have lenghs 15 cm and 20 cm respectively. Find the radius of the semicicle.

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Knowledge Check

  • The hypotenuse of a right-angled isosceles triangle is 5 cm. The area of the triangle is

    A
    5 `cm^(2)`
    B
    6.25 `cm^(2)`
    C
    6.5 `cm^(2)`
    D
    12.5 `cm^(2)`

  • In an isosceles right angled triangle, what is the length of the equal sides of the triangle, if its hypotenuse is 6sqrt(2) cm?

    A
    `3sqrt(2) cm`
    B
    6 cm
    C
    12 cm
    D
    5 cm

  • The perimeter of a right angled triangle is 60 cm. Its hypotenuse is 26 cm. The area of the triangle is

    A
    120 `cm^(2)`
    B
    240 `cm^(2)`
    C
    390 `cm^(2)`
    D
    780 `cm^(2)`

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    The length of median on hypotenuse of a right angled triangle is7 cm . Find the length of the hypotenuse.

    The perimeter of a right angled triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle.

    The length of hypotenuse of a right angled triangle is 18 cm . Find the length of median of its hypotenuse.

    The hypotenuse of a right triangle is 17cm long .if one of the remaining two sides is 8 cm in length .find the length of the other side.

    The hypotenuse of a right triangle is 13cm long.If one of the remaining two sides is of length 5cm, find the length of another side.

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