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TOT 549 1997 Autumn J O3 AK=DM+BK in square ABCD

Source:

September 11, 2024
geometryequal segmentssquare

Problem Statement

In a square ABCDABCD, KK is a point on the side BCBC and the bisector of ∠KAD\angle KAD cuts the side CDCD at the point MM. Prove that the length of segment AKAK is equal to the sum of the lengths of segments DMDM and BKBK.
(Folklore)
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