Geometry Problem: Machu Picchu Inca Trail

Problem 247. Napoleon's Theorem II. Internal Equilateral triangles. Inner triangle

In the figure, equilateral triangles ABC", BCA", and ACB" are constructed internally on the sides of a triangle ABC. Prove that the centers A2, B2, and C2 of those equilateral triangles form an equilateral triangle, called the inner Napoleon triangle. Post a comment.

Napoleon theorem II, Inner Napoleon triangle 

See also: 

  Problem 246
  Equilateral Triangle

Napoleon Theorem II

 

Home | Geometry | Napoleon | Problems | 241-250 | Email | By Antonio Gutierrez