Geometry Problem 1205: Triangle, Centroid, Outer and Inner Napoleon Equilateral Triangles. Online High School, College.

In the figure, G is the centroid of a triangle ABC. If A₁B₁C₁ and A₂B₂C₂ are the outer and the inner Napoleon triangles of triangle ABC, prove that G is the centroid of triangles A₁B₁C₁ and A₂B₂C₂.

Geometry Problem 1205: Triangle, Centroid, Outer and Inner Napoleon equilateral triangles.

See also:
Problem 246: Napoleon's Theorem I. External Equilateral triangles. Outer triangle
Problem 247: Napoleon's Theorem II. Internal Equilateral triangles. Inner triangle
Problem 248: Napoleon's Theorem III. Area Inner and Outer Napoleon triangles
iPad Apps: Apollonius: Napoleon's Theorem. External Equilateral Triangles

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Last updated: Apr 9, 2016