Abstract
It is well known that there are precisely five integer-sided triangles which have equal area, Δ, and perimeter, P. These triangles are called equable Heronian triangles.A proof of this result was given by Whitworth [1]. Since Whitworth's time, much attention has been given to triangles whose areas are integer multiples of their perimeters, for example [2, 3]. However, as this paper will show, Heronian triangles with areas less than their perimeters have some mathematical interest.
Publisher
Cambridge University Press (CUP)
Reference4 articles.
1. The ‘hitchhiker triangle’ and the problem of perimeter = area
2. Dukić Dusšan , Pell's Equations, Olympiad training materials, accessed June 2016 at http://imomath.com./
3. Heronian triangles whose areas are integer multiples of their perimeters;Markov;Forum Geometricorum,2007