Inequalities concerning the circumradius, inradius and semiperimeter of a non-obtuse triangle
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.
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How to Cite this Article
Jian Liu, Inequalities concerning the circumradius, inradius and semiperimeter of a non-obtuse triangle, Adv. Inequal. Appl., 2024 (2024), Article ID 1. https://doi.org/10.28919/aia/8682
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.