Euler Line Cuts Off Equilateral Triangle: What is this about?
A Mathematical Droodle

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Copyright © 1996-2015 Alexander Bogomolny

The applet suggests that in a triangle with an angle of 60°, the Euler line cuts off an equilateral triangle. The problem comes from a Russian online journal, archive.1september.ru/mat/2000/no43_1.htm, which seems to have disappeared from the web.


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  • Equilateral Triangles on Sides of a Quadrilateral
  • Four Incircles in Equilateral Triangle
  • Problem in Equilateral Triangle
  • Problem in Equilateral Triangle II
  • Sum of Squares in Equilateral Triangle
  • Triangle Classification
  • Isoperimetric Property of Equilateral Triangles
  • Maximum Area Property of Equilateral Triangles
  • Angle Trisectors on Circumcircle
  • Equilateral Triangles On Sides of a Parallelogram
  • Pompeiu's Theorem
  • Circle of Apollonius in Equilateral Triangle

    • |Activities| |Contact| |Front page| |Contents| |Store| |Geometry|

    Copyright © 1996-2015 Alexander Bogomolny

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