Unknown formulas of triangle angle bisector segments

Гетманенко, Людмила Миколаївна (2024) Unknown formulas of triangle angle bisector segments Grail of Science (45). pp. 457-462. ISSN 2710–3056

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Abstract

In triangle geometry, alongside basic segments such as altitudes, angle bisectors, medians, and circle radii, there exist so-called secondary segments which, despite their less obvious nature, play a crucial role in solving various geometric problems. The study of these segments significantly deepens the understanding of triangle properties, enriching its structural geometry. This paper, in particular, examines segments located on the angle bisector of a triangle. It is noteworthy that these segments exhibit cyclic properties, meaning they can be found on the bisectors of all triangle angles, not just one. The analysis of these segments enables the derivation of a set of important formulas presented in this work. The obtained results may prove valuable in solving a wide range of geometric problems related to the properties of triangles.

Item Type: Article
Uncontrolled Keywords: Mansion Circle; Circumscribed Circle; Inscribed Circle; Excircle; Angle Bisector; Angle Bisector Segments; Trinity formula; Identity Proofs; Segments of Tangents to the Circle
Subjects: Статті у базах даних > Index Copernicus
Divisions: Інститут післядипломної освіти > Кафедра природничо-математичної освіти і технологій
Depositing User: Людмила Гетманенко
Date Deposited: 18 Nov 2024 08:05
Last Modified: 08 Jan 2025 09:11
URI: https://elibrary.kubg.edu.ua/id/eprint/50197

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