# Equilateral triangles on a triangle

BAD, ACE, BCF are equilateral triangles outside a triangle ABC with one common side respectively. Prove that...
a) AF = CD = BE
b) AF, CD and BE intersect at the same point in 60
c) If X, Y, Z are the centers of triangles BAD, ACE and BCF respectively, XYZ is an equilateral triangle.

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