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(214) 2

Part of 1989 Tournament Of Towns

Problems(1)

TOT 214 1989 Spring Train S2 tangent incircles in tangential trapezoid

Source:

3/7/2021
It is known that a circle can be inscribed in a trapezium ABCDABCD. Prove that the two circles, constructed on its oblique sides as diameters, touch each other.
(D. Fomin, Leningrad)
geometrytangent circlestangentialtrapezoidincircle