School math olymp task in Russia

Autor:Eduard

The text of the task: Given sharp angle with head point O. On one side of angle placed points A and B, OA=1, OB=5. Find point C on the other side of angle BOC, so the angle ACB is the largest.

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Hypocycloids
Special Right Triangles 30°-60°-90° and 45°-45°-90°
Limaçons

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