### Abstract

There has previously been given a one-parameter family of pairs of Heron triangles with equal perimeter and area. In this note, we find two two-parameter families of such triangle pairs, one of which contains the known one-parameter family as a special case. Second, for an arbitrary integer n ≥ 2 we show how to find a set of n Heron triangles in two parameters such that all triangles have equal perimeter and area.

Original language | English (US) |
---|---|

Pages (from-to) | 15-21 |

Number of pages | 7 |

Journal | Annales Mathematicae et Informaticae |

Volume | 33 |

State | Published - Jan 1 2006 |

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### ASJC Scopus subject areas

- Computer Science(all)
- Mathematics(all)

### Cite this

**On heron triangles.** / Bremner, Andrew.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - On heron triangles

AU - Bremner, Andrew

PY - 2006/1/1

Y1 - 2006/1/1

N2 - There has previously been given a one-parameter family of pairs of Heron triangles with equal perimeter and area. In this note, we find two two-parameter families of such triangle pairs, one of which contains the known one-parameter family as a special case. Second, for an arbitrary integer n ≥ 2 we show how to find a set of n Heron triangles in two parameters such that all triangles have equal perimeter and area.

AB - There has previously been given a one-parameter family of pairs of Heron triangles with equal perimeter and area. In this note, we find two two-parameter families of such triangle pairs, one of which contains the known one-parameter family as a special case. Second, for an arbitrary integer n ≥ 2 we show how to find a set of n Heron triangles in two parameters such that all triangles have equal perimeter and area.

UR - http://www.scopus.com/inward/record.url?scp=84873294912&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873294912&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84873294912

VL - 33

SP - 15

EP - 21

JO - Annales Mathematicae et Informaticae

JF - Annales Mathematicae et Informaticae

SN - 1787-5021

ER -