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Thread: quadrilateral inequality

  1. #1
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    quadrilateral inequality

    https://postimg.cc/image/5c3ntvufx/

    I made a mistake but I can't find it.
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  2. #2
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    Re: quadrilateral inequality

    Hint: what if both P and Q are adjacent to point D?
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  3. #3
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    Re: quadrilateral inequality

    Yes then it is 27.But how do we understand that the quadrilateral is not covex?
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  4. #4
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    Re: quadrilateral inequality

    The problem doesn't state that the quadrilateral must be convex, so there is no reason why it can't be concave.
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  5. #5
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    Re: quadrilateral inequality

    Many Thanks.

    Will I use the same method in that one?
    https://postimg.org/image/9tjy9e7w3/
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  6. #6
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    Re: quadrilateral inequality

    Yes, that works. However, the problem statement is confusing. You wrote "[the] lengths of the diagonals of the rectangle ABCD is 10." I think what you meant is this: "The sum of the lengths of the diagonals of the quadrilateral ABCD is 10" - correct?
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  7. #7
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    Re: quadrilateral inequality

    Yes .Correct.
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