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MathNet 2026 — Part 03 Question 87

Math Olympiad Vault · MathNet 2026 — Part 03

Question 87

Two strings are drawn on a radius circumference equal to the unit, $AB$ and $AC$ of equal length.
a) Find out how you can build a third rope $DE$ that is divided into three equal parts by the intersections with $AB$ and $AC$.
b) If $AB = AC = \sqrt{2}$, how much are the lengths of the two segments that the string $DE$ determines over $AB$?