Remarkable triangles
Matematičeskoe obrazovanie, Tome 103 (2022) no. 3, pp. 2-14.

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Four types of triangles are considered, in which the base is the average (arithmetic, geometric, harmonic, quadratic) of the sides. Some new properties of these triangles are described. The article is printed with a continuation.
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S. I. Kublanovskii; S. G. Bershadskiy. Remarkable triangles. Matematičeskoe obrazovanie, Tome 103 (2022) no. 3, pp. 2-14. http://geodesic.mathdoc.fr/item/MO_2022_103_3_a0/

[1] I. Zetel, “Svoistva treugolnika, storony kotorogo sostavlyayut arifmeticheskuyu progressiyu”, Sbornik statei po elementarnoi i nachalam vysshei matematiki, Matem. prosv., ser. 1, 5, 1936, 12–21

[2] I. Kushnir, “Klassicheskie srednie v treugolnike”, Kvant, 2013, no. 2, 32–33

[3] A. Blinkov, Klassicheskie srednie v arifmetike i geometrii, MTsNMO, M., 2012

[4] S. Kublanovskii, Evklidova geometriya v zadachakh i uprazhneniyakh, SPB, 2021 (to appear)