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Thread: Determine the lengths of BM and DN to 2 decimals places

  1. February 1st 2009, 04:58 PM #1
    iamanoobatmath
    iamanoobatmath is offline
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    Unhappy Determine the lengths of BM and DN to 2 decimals places


    The answer is approximately 2.29
    I attempted to use sine law in order to find DN and my answer was close
    \frac{sin70}{6}=\frac{sin20}{DN}
    \frac{sin70}{6}=0.157
    \frac{sin20}{0.157}=DN=2.18

    Is there another method of solving this problem?
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  2. February 1st 2009, 06:06 PM #2
    iamanoobatmath
    iamanoobatmath is offline
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    I got the answer
    \frac{6(DN)=(6-DN)(6-DN)}{2}
    (6-DN)(6-DN)=36-12DN-DN^2=DN^2-12DN+36
    DN^2-12DN+36=6DN
    DN^2-18DN+36=0
    then use the quadratic equation....
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