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 A_{2}, B_{2}, and C_{2} of those equilateral triangles form an equilateral triangle,
called the inner Napoleon triangle.
View or post a solution.
See
also:
Problem 1205:
Triangle, Centroid, Outer and Inner Napoleon Equilateral Triangles.
Problem 246: Napoleon's Theorem I. External Equilateral triangles. Outer triangle
Problem 248: Napoleon's Theorem III. Area Inner and
Outer Napoleon triangles
iPad Apps: Apollonius: Napoleon's Theorem. External Equilateral Triangles
