IMO Shortlist 2000 problem N5


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 8,0
Dodao/la: arhiva
2. travnja 2012.
LaTeX PDF
Prove that there exist infinitely many positive integers n such that p = nr, where p and r are respectively the semiperimeter and the inradius of a triangle with integer side lengths.
Izvor: Međunarodna matematička olimpijada, shortlist 2000