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Advances in Inequalities and Applications ISSN 2050-7461

Archives › Volume 2023 (2023)

Adv. Inequal. Appl. 2023 (2023), Article ID 1

Two inequalities involving circumradius, inradius and medians of an acute triangle

Jian Liu

PDF (148.9 KB) https://doi.org/10.28919/aia/8232

Abstract

A new geometric inequality involving circumradius, inradius and medians of an acute triangle is established. Another similar inequality proposed by the author as an open problem many years ago is proved. Several conjectures are proposed after having been verified by the computer.

Published
9 November 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 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, Two inequalities involving circumradius, inradius and medians of an acute triangle, Adv. Inequal. Appl. 2023 (2023), 1. https://doi.org/10.28919/aia/8232

BibTeX
@article{Liu2023,
  author  = {Liu, Jian},
  title   = {Two inequalities involving circumradius, inradius and medians of an acute triangle},
  journal = {Adv. Inequal. Appl.},
  volume  = {2023},
  year    = {2023},
  pages   = {1},
  doi     = {10.28919/aia/8232}
}