English

On the Erdos-Mordell Inequality for Triangles in Taxicab Geometry

Metric Geometry 2019-10-24 v2

Abstract

In this work the Erdos-Mordell's inequality is examined for the case of a triangle ABCABC in the taxicab plane geometry. It is shown that the Erdos-Mordell's inequality RA+RB+RCw(ra+rb+rc)R_A + R_B + R_C \, \geq \, w \, (r_a + r_b + r_c) holds for triangles with appropriate positions for its points AA, BB and CC, if w=3/2w = 3/2.

Keywords

Cite

@article{arxiv.1901.08758,
  title  = {On the Erdos-Mordell Inequality for Triangles in Taxicab Geometry},
  author = {Maja Petrovic and Branko Malesevic and Bojan Banjac},
  journal= {arXiv preprint arXiv:1901.08758},
  year   = {2019}
}