Triangles in which an angle is a mean of the others

Mariana Sanziana PopIleana Balazs

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In this article we determine all the triangles which have an angle equal to the geometric, arithmetic, harmonic or quadratic mean of the others. The angles are measured in degrees. We also study the particular case when the measures of the angles are integer numbers.

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Balazs, Ileana, Pop, Maria, Sânziana