Geometric interpretation of Blundon’s inequality and Ciamberlini’s inequality

摘要

In this paper, we present a geometric interpretation of Blundon’s inequality and Ciamberlini’s inequality. Our results provide a useful method for proving the inequalities concerning sides, circumradius, and inradius of a triangle. As applications, some improved inequalities are established to illustrate the effectiveness of the proposed method. MSC: 26D15, 26D05.