MathDB
2014 HMMT Geometry #1:

Source:

February 24, 2014
HMMTgeometryanalytic geometrysymmetryPythagorean Theorempower of a point

Problem Statement

Let O1O_1 and O2O_2 be concentric circles with radii 4 and 6, respectively. A chord ABAB is drawn in O1O_1 with length 22. Extend ABAB to intersect O2O_2 in points CC and DD. Find CDCD.
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