MathDB
regular hexagon side wanted given given 3 distances of point from 3 vertices

Source: Tournament of Towns, Senior O-Level , Spring 2019 p1

May 11, 2020
hexagondistancegeometry

Problem Statement

The distances from a certain point inside a regular hexagon to three of its consecutive vertices are equal to 1,11, 1 and 22, respectively. Determine the length of this hexagon's side.
(Mikhail Evdokimov)