Equilateral Triangle Perimeter

What Happens When You Build 3 Equilateral Triangles?

Start with any triangle. Build an equilateral triangle on each side, find the centroids, and connect them. The result is something I still think is one of the most beautiful surprises in geometry. This result is known as Napoleon's Theorem. Created with GeoGebra. Definitions: Midpoint: The point exactly halfway between the endpoints of a line ...

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