JournalsemVol. 80, No. 3pp. 123–127

On an Erdős inscribed triangle inequality revisited

  • Cezar Lupu

    Beijing Institute of Mathematical Sciences and Applications (BIMSA), P. R. China; Tsinghua University, Beijing, P. R. China

  • Ştefan Spătaru

    Harvard University, Cambridge, USA
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Abstract

In this note, we give a refinement of an inequality of Torrejon between the area of a triangle and that of an inscribed triangle. Our approach is based on using complex numbers and some elementary facts on geometric inequalities.

Cite this article

Cezar Lupu, Ştefan Spătaru, On an Erdős inscribed triangle inequality revisited. Elem. Math. 80 (2025), no. 3, pp. 123–127

DOI 10.4171/EM/535