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

### Proposition

The figure shows
three
concentric
circles C_{1}, C_{2}, and C_{3} with center O. Points A and B are
on circle C_{1} so that the triangle OAB is
equilateral. Circle C_{4} with center
B and
congruent with circle C_{3} cuts circle C_{2} at D. ME is the
perpendicular
bisector of AD (E on C_{3}). Prove that the triangle ADE is
equilateral.

See solution below

## Geometric Art of Problem 1348 using iPad Apps

See solution below

See also:
Augmented Reality