MathDB
BWM 2014 P3: Construct with a ruler, given a regular hexagon

Source:

June 9, 2014
geometryparallelogram

Problem Statement

A regular hexagon with side length 11 is given. Using a ruler construct points in such a way that among the given and constructed points there are two such points that the distance between them is 7\sqrt7.
Notes: ''Using a ruler construct points \ldots'' means: Newly constructed points arise only as the intersection of straight lines connecting two points that are given or already constructed. In particular, no length can be measured by the ruler.