Wednesday, August 31, 2011

Napoleon's Theorem

  1. Move points A, B, and C and observe what happens.
  2. Make a conjecture about your observation. 

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If equilateral triangles are placed on the sides of any triangle as shown above (all inward or all outward), the centers of those equilateral triangles themselves form an equilateral triangle. This is known as Napoleon's theorem.

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