What Is Napoleon's Theorem?

Explanations 4

• Napoleon's Theorem If we construct equilateral triangles on the sides of any triangle (all outward or all inward), the centers of those equilateral triangles themselves form an …

  By Eric Zhang, Ryan Alweiss

• Napoleon's theorem states that Given a triangle ABCABCABC, construct equilateral triangles on the sides of ABCABCABC, either all outward or all inward. Then the centers of these…

  By Tae Hyung Kim, Alex Federspiel

• Napoleon's theorem says that in any triangle ABCABCABC, if equilateral triangles are constructed externally, the centroids of those triangles form an equilateral triangle. One p…

  By Ryan Alweiss, Ahaan Rungta

• Napoleon's Theorem is an interesting geometry theorem allegedly proven by Napoleon Bonaparte. It states the following: Let ABCABCABC be a triangle. Let DDD, EEE, and FFF be poin…

  By Saranesh Prembabu, Rajiv Movva