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Math Help - Difficult Geometry Question - Equal Intervals

  1. #1
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    Difficult Geometry Question - Equal Intervals

    Hi, can you guys help me out with this hard geometry question:



    Thanks.
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  2. #2
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    \tan \angle BAR = \dfrac{RB}{AB} = \dfrac{RQ''+Q''P''+P''B}{AP'+P'Q'+Q'B}.
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    Last edited by Opalg; March 26th 2011 at 02:34 AM. Reason: corrected LaTeX
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  3. #3
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    Quote Originally Posted by Opalg View Post
    \tan \angle BAR = \dfrac{RB}{AB} = \dfrac{RQ"+Q"P"+P"B}{AP'+P'Q'+Q'B}.

    Hi,

    Sorry I don't fully understand your solution to the question.

    How does RQ'' represent sin a, Q''P'' represent sin 2a, etc. ?

    Thanks.
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  4. #4
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    Quote Originally Posted by eskimogenius View Post
    Hi,

    Sorry I don't fully understand your solution to the question.

    How does RQ'' represent sin a, Q''P'' represent sin 2a, etc. ?

    Thanks.
    You are told that AP, PQ and AR all have the same length, call it  a. Then RQ'' = a\sin3\alpha, and similarly for the other lengths.
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