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Homework Help: Right triangle problem,please check

  1. May 5, 2010 #1
    Right triangle problem,please check!!

    1. The problem statement, all variables and given/known data
    In the figure,TN=NK, ST=12 and SN=[tex]\sqrt{69}[/tex].Find the lenght of TK.
    [PLAIN]http://img695.imageshack.us/img695/633/50042657.png [Broken]

    2. Relevant equations
    Pythagorean Theorem

    3. The attempt at a solution
    Segment SN is the median of the right triangle.Here its not given the other leg how can we find a or b ????
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. May 5, 2010 #2
    Re: Right triangle problem,please check!!

    There are two right angled triangles on the picture. They have a common side. Although you do not know the length of it, I would suggest you mark it with some letter. Then, write out Pythagora's Theorem for both of them. You will have two equations for two unknowns.
  4. May 5, 2010 #3
    Re: Right triangle problem,please check!!

    Yes,you are right, thanks a lot.I got the correct answer
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