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Math Help - Similar Triangle Ratios

  1. #1
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    Similar Triangle Ratios

    Hey Guys,

    I need help setting up question #24

    So far I set it up as AD/AB = AE/AC

    I got 4/4+x = 18-x/18+x

    then I got x^2 - 14x -144

    I don't know if this is correct yet.
    Attached Thumbnails Attached Thumbnails Similar Triangle Ratios-screen-shot-2014-02-02-7.20.38-pm.png  
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  2. #2
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    Re: Similar Triangle Ratios

    Ac is given and is equal to 18 therefore your ratio must be (x)/18 and not x-18/18+x.....
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  3. #3
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    Re: Similar Triangle Ratios

    Quote Originally Posted by MINOANMAN View Post
    Ac is given and is equal to 18 therefore your ratio must be (x)/18 and not x-18/18+x.....
    I'm so blind lol
    So it should be AD/AB = AE/AC
    which is 4/x+4 = x/18
    correct?
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  4. #4
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    Re: Similar Triangle Ratios

    yes
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  5. #5
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    Re: Similar Triangle Ratios

    Hi,
    Even "easy" questions can have some interesting properties. In particular, the figure for the problem is misleading in that no such triangle can exist. The attachment explores this:

    Similar Triangle Ratios-mhfgeometry63.png
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