laser beam inside a regular hexagon, min path a>2019 2019 BMT Team 14
Source:
January 5, 2022
geometryhexagongeometric inequalityreflection
Problem Statement
A regular hexagon has positive integer side length. A laser is emitted from one of the hexagon’s corners, and is reflected off the edges of the hexagon until it hits another corner. Let be the distance that the laser travels. What is the smallest possible value of such that ?You need not simplify/compute exponents.