Proofs for old and new triangle inequalities
The Teaching of Mathematics, XXIII (2020) no. 1, p. 30
In this paper, we give new elementary proofs for some old triangle inequalities and we also present proofs for new inequalities in triangle.
Classification :
97H30, H34
Keywords: problem solving, Bergström's inequality, Radon's inequality, Euler's inequality, Mitrinović's, Padoa's inequality, Bătineţu's inequality.
Keywords: problem solving, Bergström's inequality, Radon's inequality, Euler's inequality, Mitrinović's, Padoa's inequality, Bătineţu's inequality.
@article{TM2_2020_XXIII_1_a3,
author = {D. M. B\u{a}tine\c{t}u-Giurgiu and Neculai Stanciu},
title = {Proofs for old and new triangle inequalities},
journal = {The Teaching of Mathematics},
pages = {30 },
year = {2020},
volume = {XXIII},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2020_XXIII_1_a3/}
}
D. M. Bătineţu-Giurgiu; Neculai Stanciu. Proofs for old and new triangle inequalities. The Teaching of Mathematics, XXIII (2020) no. 1, p. 30 . http://geodesic.mathdoc.fr/item/TM2_2020_XXIII_1_a3/