Remarkable triangles. Finished

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 second part of the article contains three paragraphs: 1) construction of wonderful triangles with a compass and ruler; 2) description of right-angled remarkable triangles; 3) description of integer remarkable triangles (in this paper they are called Diophantine).