A characterization of all integer-sided triangles with a rational median is given, similar to the categorization of Pythagorean triangles. An infinite family of integer-sided triangles with two rational medians is given, along with several examples of three rational medians. All examples come from solutions to systems of quadratic Diophantine equations
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...
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...
AbstractWe present a characterization of all rational sided triangles with three rational medians. I...
Triangles with integer length sides and integer area are known as Heron triangles. Taking rescaling ...
A right triangle is called rational when its legs and hypotenuse are all rational numbers. Examples ...
I t is well known (and easy to prove) that given any triangle ABC, there exists a triangle whose t...
We explore the generalization of famous Pythagorean triples (a, b, c) for triangles to Pythagorean q...
Abstract. We discover suprising connections between three seemingly differ-ent problems: finding rig...
Abstract. A famous problem posed by Diophantus was to nd sets of distinct positive rational numbers ...
The subject of this article is to examine the triangles with integer sides and medians with the aim ...
ABSTRACT. The main intent in this paper is to find triples of Rational Pythagorean Triangles (abbr. ...
In a WhatsApp group of Math enthusiasts, a question was posed some time ago: 13,14,15 are the sides ...
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...
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...
AbstractWe present a characterization of all rational sided triangles with three rational medians. I...
Triangles with integer length sides and integer area are known as Heron triangles. Taking rescaling ...
A right triangle is called rational when its legs and hypotenuse are all rational numbers. Examples ...
I t is well known (and easy to prove) that given any triangle ABC, there exists a triangle whose t...
We explore the generalization of famous Pythagorean triples (a, b, c) for triangles to Pythagorean q...
Abstract. We discover suprising connections between three seemingly differ-ent problems: finding rig...
Abstract. A famous problem posed by Diophantus was to nd sets of distinct positive rational numbers ...
The subject of this article is to examine the triangles with integer sides and medians with the aim ...
ABSTRACT. The main intent in this paper is to find triples of Rational Pythagorean Triangles (abbr. ...
In a WhatsApp group of Math enthusiasts, a question was posed some time ago: 13,14,15 are the sides ...
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...
Ensino Médio::MatemáticaThere is a one-to-one correspondence between positive rational numbers q les...