MathDB

12

Part of 2013 Baltic Way

Problems(1)

Tangent to Circumcirlce

Source: 2013 Baltic Way, Problem 12

12/31/2013
A trapezoid ABCDABCD with bases ABAB and CDCD is such that the circumcircle of the triangle BCDBCD intersects the line ADAD in a point EE, distinct from AA and DD. Prove that the circumcircle oF the triangle ABEABE is tangent to the line BCBC.
geometrycircumcircletrapezoidgeometry unsolved