#### 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.

#### Recommended Citation

Ionascu, Eugen J., "Heron triangles with two fixed sides" (2007). *Faculty Bibliography*. 554.

https://csuepress.columbusstate.edu/bibliography_faculty/554