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Euler's triangle formula

  1. Jun 6, 2010 #1
    Hi all

    I have a question concerning Euler's triangle formula, where the distance (d) between the incenter and circumcenter of a triangle is given as d2 = R(R-2r), with R being the circumradius and r the inradius. I suck at algebra and I need to know how to solve this if I only know the distance (d) and nothing else. How do I compute R and r from just the distance?

    Many thanks
    Nigel
     
  2. jcsd
  3. Jun 7, 2010 #2
    You don't. You're not going to get two values out of one. (Think of an equilateral triangle of arbitrary size for instance.)
     
  4. Jun 7, 2010 #3
    Hi Martin

    Thanks for the reply, I suspected that would be the case but wanted to make sure!

    Cheers
    Nigel
     
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