Geometry Problem 1348: Three Concentric Circles, Equilateral Triangle, Perpendicular Bisector, Congruence. Math Infographic.

Proposition

The figure shows three concentric circles C₁, C₂, and C₃ with center O. Points A and B are on circle C₁ so that the triangle OAB is equilateral. Circle C₄ with center B and congruent with circle C₃ cuts circle C₂ at D. ME is the perpendicular bisector of AD (E on C₃). Prove that the triangle ADE is equilateral.

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Geometric Art of Problem 1348 using iPad Apps

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See also: Augmented Reality 

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