English

The Rational Distance Problem for Equilateral Triangles

Number Theory 2017-03-27 v2

Abstract

Let (P) denote the problem of existence of a point in the plane of a given triangle T, that is at rational distance from all the vertices of T. In this article, we provide a complete solution to (P) for all equilateral triangles.

Keywords

Cite

@article{arxiv.1703.06866,
  title  = {The Rational Distance Problem for Equilateral Triangles},
  author = {Roy Barbara},
  journal= {arXiv preprint arXiv:1703.06866},
  year   = {2017}
}
R2 v1 2026-06-22T18:51:20.932Z