regular hexagon (2022 Novosibirsk Oral Geo Oly 9.3)
Source:
September 3, 2023
geometryhexagon
Problem Statement
In a regular hexagon, segments with lengths from to were drawn as shown in the right figure (the segments go sequentially in increasing length, all the angles between them are right). Find the side length of this hexagon.
https://cdn.artofproblemsolving.com/attachments/3/1/82e4225b56d984e897a43ba1f403d89e5f4736.png