A problem with equilateral triangles: What is it?
A Mathematical Droodle

What if applet does not run? -->

21 January 2016, Created with GeoGebra

Three equal equilateral triangles have one vertex at the center of a circle and the other two on its circumference. The midpoints of their sides on the circle form another equilateral triangle.

symmetric propeller

Explanation


Related material
Read more...

  • Six Incircles in Equilateral Triangle
  • Equilateral Triangle, Straight Line and Tangent Circles
  • Equilateral Triangles on Diagonals of Antiequilic Quadrilateral
  • Equilateral Triangles On Sides of a Parallelogram
  • Equilateral Triangles On Sides of a Parallelogram II
  • Equilateral Triangles on Sides of a Parallelogram III
  • Triangle Classification
  • Equilateral Triangles and Incircles in a Square
  • Equal Areas in Equilateral Triangle
  • A Circle Rolling in an Equilateral Triangle
  • Viviani's Theorem
  • Regular Polygons in a Triangular Grid
  • Common Centroids Lead to Equilateral Triangle

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

    Copyright © 1996-2018 Alexander Bogomolny

    73594709