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

Jian Liu

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.

How to Cite this Article

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

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.