reflections on billiard (2022 Novosibirsk Oral Geo Oly 8.2)
Source:
September 2, 2023
geometryreflectionrectangle
Problem Statement
A ball was launched on a rectangular billiard table at an angle of to one of the sides. Reflected from all sides (the angle of incidence is equal to the angle of reflection), he returned to his original position . It is known that one of the sides of the table has a length of one meter. Find the length of the second side.
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