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ratio of bases in trapezoid ABCD, DC=DK (2017 Novosibirsk Oral Geo Oly 8-9 p6)

Source:

April 26, 2021
ratiogeometrytrapezoid

Problem Statement

In trapezoid ABCDABCD, diagonal ACAC is the bisector of angle AA. Point KK is the midpoint of diagonal ACAC. It is known that DC=DKDC = DK. Find the ratio of the bases AD:BCAD: BC.