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Math Help - similar triangles

  1. #1
    Newbie
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    similar triangles

    Express x in terms of the other variables in the diagram below:

    l.
    r l ' ' , .
    l h l ' , .
    l_______l____>
    x t

    Assuming that is a (poorly drawn) triangle and angle XR and TH are right angles.
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  2. #2
    Super Member

    Joined
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    Lexington, MA (USA)
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    Hello, white_cap!

    Express x in terms of the other variables in the diagram below:
    Code:
          *
          |   *
          |       *
         r|       |   *
          |       |h      *
          |       |           *
          * - - - * - - - - - - - *
              x           t
    We have two similar right triangles.

    Hence: . \frac{x+t}{r} \:=\:\frac{t}{h}

    Solve for x\!:\;\;x + t \:=\:\frac{rt}{h}\quad\Rightarrow\quad x \;=\;\frac{rt}{h} - t

    Therefore: . x \;=\;\frac{t(r-h)}{h}

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  3. #3
    Newbie
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    Oct 2007
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    Thanks for the help! even with the messy diagram of mine.
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