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Thread: Cyclic Quadrilateral

  1. #1
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    Cyclic Quadrilateral

    There is a given cyclic quadrilateral ABCD with perpendicular diagonals AC and BD intersected at point O.
    Through this point passes line perpendicular upon AD. Show it bisects BC.

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  2. #2
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    Quote Originally Posted by bane View Post
    There is a given cyclic quadrilateral ABCD with perpendicular diagonals AC and BD intersected at point O.
    Through this point passes line perpendicular upon AD. Show it bisects BC.
    Hint: Show that the triangles OFB, OFC are both isosceles.
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  3. #3
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    OK, I get it! Thanks for your contribution
    Last edited by bane; Mar 17th 2010 at 05:03 AM.
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