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)|
|Number of pages||7|
|Journal||Annales Mathematicae et Informaticae|
|State||Published - Jan 1 2006|
ASJC Scopus subject areas
- Computer Science(all)