MathDB
Easy line segment lenght - Portuguese MO, Problem 2, 2010

Source:

August 28, 2010
geometry proposedgeometry

Problem Statement

On a circumference, points AA and BB are on opposite arcs of diameter CDCD. Line segments CECE and DFDF are perpendicular to ABAB such that A−E−F−BA-E-F-B (i.e., AA, EE, FF and BB are collinear on this order). Knowing AE=1AE=1, find the length of BFBF.
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