MathDB

4

Part of 2018 Poland - Second Round

Problems(1)

Trapezoid and tangent circles

Source: 69 Polish MO 2018 Second Round - Problem 4

4/28/2018
Let ABCDABCD be a trapezoid with bases ABAB and CDCD. Circle of diameter BCBC is tangent to line ADAD. Prove, that circle of diameter ADAD is tangent to line BCBC.
geometryPlane Geometrytrapezoidtangent circlesPoland