2021/05/08 by Ajai Choudhry, Choudhry, Ajai
Engineering · Mathematics · Physics and Astronomy · #11D25 #Advanced Mathematical Theories and Applications #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2105.03816
openalex publication_date 2021/05/08 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
A triangle with rational sides and rational area is called a rational\ntriangle. In this paper we consider three problems of finding pairs of rational\ntriangles which have a common circumradius as well as either a common perimeter\nor a common inradius or a common area. While several similar problems\nconcerning pairs of rational triangles have been considered in the existing\nliterature, these three problems have not been studied till now. For each of\nthese problems, we give a parametric solution and we also indicate how\nadditional parametric solutions of these problems may be obtained.\n