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Geometry Problem 972: Equilateral Triangle, Vertices, Three Parallel, Equal Circles, Perpendicular Bisector. Level: School, College, Mathematics Education

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Lines L1, L2, and L3 are parallel (Figure below) with OQ perpendicular to L2 (O on L3 and Q on L2). Circles O and Q with radius OQ intersect at A and B. AC is tangent to circle O at A (C on L1). DE is the perpendicular bisector of OC (E on L2). Prove that triangle COE is equilateral.
 

 Geometry Problem 972: Equilateral Triangle, Vertices, Three Parallel, Equal Circles, Perpendicular Bisector

 

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