On the Erdos-Mordell Inequality for Triangles in Taxicab Geometry
classification
🧮 math.MG
keywords
erdos-mordellinequalitygeometrytaxicabtrianglesappropriatecaseexamined
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In this work the Erdos-Mordell's inequality is examined for the case of a triangle $ABC$ in the taxicab plane geometry. It is shown that the Erdos-Mordell's inequality $R_A + R_B + R_C \, \geq \, w \, (r_a + r_b + r_c)$ holds for triangles with appropriate positions for its points $A$, $B$ and $C$, if $w = 3/2$.
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