Geometry Problem 1261

Elements: Cyclic Quadrilateral, Circle, Diameter, Midpoint, Measurement

ABCD is a cyclic quadrilateral with AC as diameter. AD and BC extended meet at E. If AB = 2BC and AD = 3CD, prove that C is the midpoint of BE.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.

 

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