14
Part of 2019 BMT Spring
Problems(2)
laser beam inside a regular hexagon, min path a>2019 2019 BMT Team 14
Source:
1/5/2022
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.
geometryhexagongeometric inequalityreflection
2019 BMT Individual 14
Source:
1/9/2022
On a hour clock, there are two times after for which the time expressed in the form and in minutes are both perfect squares. One of these times is , since and are both perfect squares. Find the other time, expressed in the form .
number theory