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KöMaL 2022 B5226

    The length of each side of a triangle is at most 2 units. Each pair of vertices is joined with an arc of a unit circle, not longer than a semicircle. Prove that a′+b′>2c′/3,a'+b'>2c'/3, where a′a', b′b', c′c' denote the lengths of the arcs.

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