Geometry Problem 1205: Triangle, Centroid, Outer and Inner Napoleon Equilateral Triangles

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view more details of problem 1205.

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iPad Apps: Apollonius for iPad. Napoleon's Theorem. External Equilateral Triangles

Interactive Geometry Software
Level: Mathematics Education, High School, Honors Geometry, College.

Using Interactive Dynamic Software for iPad.
Click the figure below to see more.

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Problem 248. Napoleon's Theorem III. Area Inner and outer Napoleon triangles

Inner Napoleon Triangle


See complete Problem 248 at:
gogeometry.com/problem/p248_napoleon_theorem_iii_area_inner_outer.htm

Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.