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Part of 2006 Turkey Junior National Olympiad

Problems(1)

Turkey Junior Olympiad 2006, Part II - P1

Source:

1/20/2013
Let ABCDABCD be a trapezoid such that AD∥BCAD\parallel BC. The interior angle bisectors of the corners AA and BB meet on [DC][DC]. If ∣BC∣=9|BC|=9 and ∣AD∣=4|AD|=4, find ∣AB∣|AB|.
geometrytrapezoid