Article ID Journal Published Year Pages File Type
5772605 Journal of Number Theory 2017 11 Pages PDF
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
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