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Math Help - Cyclic rectangle problem

  1. #1
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    Question Cyclic rectangle problem

    ABCD is a rectangle. prove that the point of intersection of its diagonals is the centre of the circle.
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  2. #2
    Super Member malaygoel's Avatar
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    Hint:
    Show that the diagonals should be diameters.
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  3. #3
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    Quote Originally Posted by malaygoel View Post
    Hint:
    Show that the diagonals should be diameters.
    please explain
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  4. #4
    Super Member malaygoel's Avatar
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    In a circle, if a chord subtends right angle then it should be a diameter. Hence, the diagonals of the rectangle should be the diameters of the circumscribing circle.....and two diameters intersect only at centre of the circle.
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