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Some inequalities in a triangle in which the length of one side and the inradius are given.
- Source :
-
International Journal of Mathematical Education in Science & Technology . Aug2022, Vol. 53 Issue 8, p2226-2235. 10p. - Publication Year :
- 2022
-
Abstract
- In the article, we prove 18 inequalities involving inradius, a length of one side and one additional element of a given triangle. 14 of these inequalities are the necessary and sufficient conditions for the existence and uniqueness of such a triangle. All proofs are based on standard methods of calculus and can serve as a good demonstration of the relationship between different branches of mathematics (geometry, algebra, trigonometry, calculus). The article can be used by teachers and students in courses on advanced classical geometry. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GEOMETRY
*TEACHERS
*STUDENTS
*HIGHER education
*ADULTS
Subjects
Details
- Language :
- English
- ISSN :
- 0020739X
- Volume :
- 53
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematical Education in Science & Technology
- Publication Type :
- Academic Journal
- Accession number :
- 159177052
- Full Text :
- https://doi.org/10.1080/0020739X.2021.1919771