Geometry Problem 967:
Three Equilateral Triangles, Midpoints. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). Levels:
School, College, Mathematics Education
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The dynamic figure below shows equilateral
triangles A1B1C1 and A2B2C2. If A, B, and C are the midpoints of A1A2,
B1B2, and C1C2, prove that the triangle ABC is an equilateral triangle.