"Heron triangles with two fixed sides" by Eugen J. Ionascu
 

Document Type

Article

Publication Date

2007

Publication Title

Elsevier Inc.

Abstract

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.

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Mathematics Commons

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