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Integer-sided triangle with one angle 60

  1. Apr 23, 2008 #1
    I've been reading about the theories and ideas behind integer-sided triangles over the internet for quite some time until I bumped into this website about integer-sided triangles having one angle being 60: http://www.jstor.org/pss/3615511 <--- the website:S

    I understood everything up until this point where you have to eliminate a and substitute b and c to yield this result : p(2q+r)=s(q+2r)

    Okay, I've managed to show that result, but then the next step was substituting k (for k is some rational) to get both p and s...
    I didn't know how that came about since:
    p=s(q+2r)/(2q+r) and s=p(2q+r)/(q+2r)

    And if you let k = s(2q+r), then p = k(q+2r), but how is s = k(2q+r) ? does that mean k also equals to p(q+2r)?
    Sorry if I had posted in the wrong forum :cry:
    Thank you.
    Last edited by a moderator: Apr 23, 2017
  2. jcsd
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