MathDB
SMT 2019 Geometry Tiebreaker #2

Source:

August 8, 2023
geometry

Problem Statement

Let ABCDABCD be a rectangle with AB=8AB = 8 and BC=6BC = 6. Point EE is outside of the rectangle such that CE=DECE = DE. Point DD is reflected over line AEAE so that its image, D′D' , lies on the interior of the rectangle. Point D′D' is then reflected over diagonal ACAC, and its image lies on side ABAB. What is the length of DEDE?
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