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MathNet 2010 — Part 02 Question 181

Math Olympiad Vault · MathNet 2010 — Part 02

Question 181

It is considered an equilateral triangle on the side $1$ and center $O$, like the one in the figure.
Question illustration
a lightning part of $O$ and is reflected on all three sides, $\overline{AB}$, $\overline{AC}$ y $\overline{BC}$, (in the given order), until reaching the vertex $A$. Determine the minimum length of the beam stroke. Note: When the beam is reflected on one side, the input angles (incident) and output (reflection) match.