MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN S Problems
10
10
Part of
PEN S Problems
Problems
(1)
S 10
Source:
5/25/2007
Let
p
p
p
be an odd prime. Show that there is at most one non-degenerate integer triangle with perimeter
4
p
4p
4
p
and integer area. Characterize those primes for which such triangle exist.
geometry
perimeter
Miscellaneous Problems