Students and teachers of secondary school

Triangle's remarkable points and inequalities

V. B. Drozdov


Abstract: Consider the 4 centers of a triangle: the mass center, the orthocenter, the incenter, and the circumcenter. Consider the 6 line segments which join these centers. The inequalities between the lengths of these segments are established.

Keywords: the triangle, the intersection points of the medians and heights, the centers of the inscribed and of the circumscribed circles, the lemma, the hypothesis, the inequalities, the extrawritten circles of the triangle.

UDC: 514.112.3