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Found problems: 1

2005 Sharygin Geometry Olympiad, 10.5
Tags: geomatry , distance , circles , Tangents , geometry
Two circles of radius $1$ intersect at points $X, Y$, the distance between which is also equal to $1$. From point $C$ of one circle, tangents $CA, CB$ are drawn to the other. Line $CB$ will cross the first circle a second time at point $A'$. Find the distance $AA'$.