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Math Help - Finding the length of a triangle

  1. #1
    4AM
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    Finding the length of a triangle

    Find RS.






    Find TU.



    Any help is appreciated! (:
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  2. #2
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    Quote Originally Posted by 4AM View Post
    Find RS.
    Let x denote PR, then RQ = 50-x. Using the tangens function you can set up 2 equations:

    |\overline{RS}| = \dfrac{x}{\tan(32^\circ)} ..... and ..... |\overline{RS}| = \dfrac{50-x}{\tan(26^\circ)}

    Set equal the RHS of the two equations and solve for x, afterwards you can use one of the two equations to get the length of RS. I've got |\overline{RS}| \approx 44.94



    Find TU.
    I've modified your sketch a little bit. (see attachment)

    According to the drawing you can set up 2 equations:

    \tan(53.8^\circ)=\dfrac xy ..... and ..... \tan(38.8^\circ)=\dfrac{x}{y+12.5}

    Solve the second equation for y, plug in this term into the first equation and solve for x.

    I've got |\overline{TU}| = x \approx 24.42
    Attached Thumbnails Attached Thumbnails Finding the length of a triangle-entf_vonturm.png  
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