Problem #PRU-58300

Problemas Cálculo Números reales Partes entera y fraccionaria. Propiedad de Arquímedes Métodos Principio del casillero Principio del casillero (ángulos y longitudes)

Problem

Do there exist three points \(A\), \(B\) and \(C\) on the plane such that for any point \(X\) the length of at least one of the segments \(XA\), \(XB\) and \(XC\) is irrational?