Add to ORKGIn a WhatsApp group of Math enthusiasts, a question was posed some time ago: 13,14,15 are the sides of a triangle with rational area and side lengths that are consecutive integers. Can we find more such triangles? This question led me to ask, how many such triangles exist? Can we come up with a general formula to generate such triangles
Introduction Right triangles with integer side lengths are one of the earliest traces of human inte...
This paper explores the congruent number problem, which asks which rational numbers are areas of tri...
For a natural number n, we find the number of right triangles that have an area equal to n times per...
In this paper, we seek a family of triangles that have integer sides and integer area. We focus mai...
We use the recurrence relations and the Pell equations to determineall integer triangles whose lengt...
We use the recurrence relations and the Pell equations to determineall integer triangles whose lengt...
This article provides a general formula to generate all pairs of rational-sided isosceles triangles ...
In this paper, we seek a family of triangles that have integer sides and integer area. We focus mai...
ABSTRACT. The main intent in this paper is to find triples of Rational Pythagorean Triangles (abbr. ...
In the July 2018 issue of At Right Angles, author A S Rajagopalan had explored the number of tri...
In grade school, students learn a standard set of Euclidean triangles. Among this set, the usual 45...
AbstractIt is proved that ifaandbare different non-zero rational integers then the “simultaneous Pel...
A rational n-tiling of the unit square is a collection of n triangles with rational side length whos...
A characterization of all integer-sided triangles with a rational median is given, similar to the ca...
The following question has been considered by several mathematicians over the last half century: How...
Introduction Right triangles with integer side lengths are one of the earliest traces of human inte...
This paper explores the congruent number problem, which asks which rational numbers are areas of tri...
For a natural number n, we find the number of right triangles that have an area equal to n times per...
In this paper, we seek a family of triangles that have integer sides and integer area. We focus mai...
We use the recurrence relations and the Pell equations to determineall integer triangles whose lengt...
We use the recurrence relations and the Pell equations to determineall integer triangles whose lengt...
This article provides a general formula to generate all pairs of rational-sided isosceles triangles ...
In this paper, we seek a family of triangles that have integer sides and integer area. We focus mai...
ABSTRACT. The main intent in this paper is to find triples of Rational Pythagorean Triangles (abbr. ...
In the July 2018 issue of At Right Angles, author A S Rajagopalan had explored the number of tri...
In grade school, students learn a standard set of Euclidean triangles. Among this set, the usual 45...
AbstractIt is proved that ifaandbare different non-zero rational integers then the “simultaneous Pel...
A rational n-tiling of the unit square is a collection of n triangles with rational side length whos...
A characterization of all integer-sided triangles with a rational median is given, similar to the ca...
The following question has been considered by several mathematicians over the last half century: How...
Introduction Right triangles with integer side lengths are one of the earliest traces of human inte...
This paper explores the congruent number problem, which asks which rational numbers are areas of tri...
For a natural number n, we find the number of right triangles that have an area equal to n times per...