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Find the triangle

  1. Dec 31, 2013 #1

    utkarshakash

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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

    vela

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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. :)

    http://en.wikipedia.org/wiki/Incircle_and_excircles_of_a_triangle

    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

    utkarshakash

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