MathDB
tangent circumcircles at given point wanted (2017 Kyiv City MO 11.5.1)

Source:

September 9, 2020
geometrycircumcircletangent circles

Problem Statement

The bisector ADAD is drawn in the triangle ABCABC. Circle kk passes through the vertex AA and touches the side BCBC at point DD. Prove that the circle circumscribed around ABCABC touches the circle kk at point AA.