# Math Infographic, Geometry Problem 1347: Triangle, Angle Bisector, Congruence, Circumcircle,
Tangent, Equilateral Triangle

### Proposition

The figure shows
a triangle ABC with DE
bisector of
angle ADC, BE = CE and BC
tangent to
the
circumcircle of triangle ADC at C. Prove that the triangle BCE is
equilateral.

See solution below

See also:

Sketch and typography of problem 1347