Challenge Your Geometry Skills with Problem 934: Square, Circle, Center, Perpendicular, and Metric Relations. Suitable for High School, College, and Mathematics Education

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Consider the square ABCD in the figure below, with AE perpendicular to EC. Let the circle with center E and radius EC intersect AE at F. If DE = 1, find the length of AF.

Infographic Geometry Problem 934: Square, Circle, Center, Perpendicular, Metric Relations