TOT 344 1992 Autumn A J2 a squarea and 1993$ equilaterals
Source:
June 10, 2024
geometrycombinatoricscombinatorial geometry
Problem Statement
On the plane a square is given, and equilateral triangles are inscribed in this square. All vertices of any of these triangles lie on the border of the square. Prove that one can find a point on the plane belonging to the borders of no less than of these triangles.(N Sendrakyan)