Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772605 | Journal of Number Theory | 2017 | 11 Pages |
Abstract
In this paper we show that there are infinitely many pairs of integer isosceles triangles and integer parallelograms with a common (integral) area and common perimeter. We also show that there are infinitely many Heron triangles and integer rhombuses with common area and common perimeter. As a corollary, we show there does not exist any Heron triangle and integer square which have a common area and common perimeter.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Pradeep Das, Abhishek Juyal, Dustin Moody,