Skip to content
Advances in Inequalities and Applications ISSN 2050-7461

Archives › Volume 2024 (2024)

Adv. Inequal. Appl. 2024 (2024), Article ID 1

Inequalities concerning the circumradius, inradius and semiperimeter of a non-obtuse triangle

Jian Liu

PDF (158.7 KB) https://doi.org/10.28919/aia/8682

Abstract

In this paper, we provide two new proofs of a remarkable inequality involving the circumradius, inradius and semiperimeter of a non-obtuse triangle. Furthermore, we generalize this inequality and another similar result to the case with one parameter. We also give some applications of our new results.

Published
24 July 2024
Volume
2024 (2024)
License
CC BY 3.0

Copyright © 2024 Jian Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

J. Liu, Inequalities concerning the circumradius, inradius and semiperimeter of a non-obtuse triangle, Adv. Inequal. Appl. 2024 (2024), 1. https://doi.org/10.28919/aia/8682

BibTeX
@article{Liu2024,
  author  = {Liu, Jian},
  title   = {Inequalities concerning the circumradius, inradius and semiperimeter of a non-obtuse triangle},
  journal = {Adv. Inequal. Appl.},
  volume  = {2024},
  year    = {2024},
  pages   = {1},
  doi     = {10.28919/aia/8682}
}