A problem with equilateral triangles: What is it?
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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.

Explanation


Related material
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  • 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
  • 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

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