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Determine the number of triangles in a 15-gon?

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All the vertices of a 15-gon, not necessarily regular, lie on the circumference of a circle, and the center of this circle is inside the 15-gon. What is the largest possible number of obtuse-angled triangles whose vertices are 3 of the vertices of the 15-gon?

posted Mar 22, 2018 by anonymous

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