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Mathematics, 27.09.2021 23:00 heyitshenna96

We say that a triangle is angle-almost-equilateral error e> 0 if the absolute value of the difference between each of its angles and 60° is less than e. Show that for every e> 0 there are angle-almost-equilateral error triangles e whose vertices have integer coordinates in the Cartesian plane. From among all the triangles with these properties, determine the one with the smallest area.

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