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Math Help - Find Length to Side of Triangle

  1. #1
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    Find Length to Side of Triangle



    This is how the problem started, and I need to find X. After working on it for awhile, all I could get to was this.



    If you could please help me complete this, and tell me what you did, I'd deeply appreciate it. Thanks!
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  2. #2
    MHF Contributor
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    (1) solve for y using Pythagoras.

    (2) similar triangles ...

    \dfrac{y}{52} = \dfrac{r}{48+r}

    solve for r.

    (3) similar triangles again ...

    \dfrac{y}{48} = \dfrac{x}{48+2r}

    solve for x
    Attached Thumbnails Attached Thumbnails Find Length to Side of Triangle-triangleprob.jpg  
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  3. #3
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    Hi kwikpwn,
    After you solve for y by the pythagorian theorem you can set up a simple equation in one unknown to find x.Use the property of tangents.


    bjh
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