Heron triangles with two fixed sides
Ionascu, Eugen J. · Luca, Florian · Stanica, Pantelimon
Original · EN
In this paper, we study the function H(a,b), which associates to every pair of positive integers a and b the number of positive integers c such that the triangle of sides a,b and c is Heron, i.e., has integral area. In particular, we prove that H(p,q)≤ 5 if p and q are primes, and that H(a,b)=0 for a random choice of positive integers a and b.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.