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Math Help - could somebody please help me with this

  1. #1
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    could somebody please help me with this

    please look at the attachment
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by sanee66 View Post
    please look at the attachment
    I attached the diagram below. By the way, the triangle is AMN not ABC

    Note that the altitude of an equilateral triangle bisects one of it's angles and divides the base it hits in two equal parts. This means that MH = \frac {1}{2} (7m - 1)

    Also, since \triangle AMN is equilateral, AN = AM

    We are told that the sum of AM and MH gives 11m - 4

    \Rightarrow AM + MH = 11m - 4

    \Rightarrow 7m - 1 + \frac {7m - 1}{2} = 11m - 4

    \Rightarrow 7m + \frac {7m}{2} - 11m = -4 + \frac {3}{2}

    \Rightarrow - \frac {1}{2} m = - \frac {5}{2}

    \Rightarrow m = 5

    The side length of the triangle is equal to the side-length of AN

    So, the side-length is 7m - 1 = 7(5) - 1 = 34
    Attached Thumbnails Attached Thumbnails could somebody please help me with this-triproof2.jpg  
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