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Homework Help: Find the triangle

  1. Dec 31, 2013 #1


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    1. The problem statement, all variables and given/known data
    If in any triangle r=r1-r2-r3, then which type of triangle is it?
    r1,r2,r3 denotes ex-radii.

    3. The attempt at a solution

    4R = r1+r2+r3-r

    r2+r3 = 2R

    I can't figure out what to do next.
  2. jcsd
  3. Dec 31, 2013 #2


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    What are ex-radii? I've never heard that term before. Also, what are ##r## and ##R## supposed to denote?
  4. Dec 31, 2013 #3
    Less encountered in geometry problems but they do exist. :)


    Hi utkarshakash! :)

    You are almost there. Can you express ##r_2## and ##r_3## in terms of R, the sines and cosines of three angles of the triangle?
  5. Jan 1, 2014 #4


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