NotesFAQContact Us
Search Tips
ERIC Number: EJ779100
Record Type: Journal
Publication Date: 2007
Pages: 3
Abstractor: ERIC
Reference Count: 2
ISSN: ISSN-0819-4564
Pythagorean and Heronian Triangles
de Mestre, Neville; Marrows, Barney
Australian Senior Mathematics Journal, v21 n2 p21-23 2007
The basic Pythagorean theorem for right-angled triangles is well-known in mathematical terms as a[squared]+b[squared]+c[squared] were "a," "b," and "c" are the lengths of the sides of the triangle with "c" as the hypotenuse. When "a," "b," and "c" are all integers and obey this equation, they are referred to as a Pythagorean triple. One property of right-angled triangles based on Pythagorean triples is that their areas are always integers. Triangles that are right-angled and have integer sides and areas are referred to as Heronian triangles. These are called as such, because they depend on the rationalization of the formula for the area of a triangle given by Heron, a first century Egyptian engineer from Alexandria. In this article, the authors describe how Pythagorean triples and Heronian triangles are generated. (Contains 1 figure and 1 table.)
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide, 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A