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Find the length of the side c

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September 5, 2010
geometrycircumcircleratioangle bisectorgeometry unsolved

Problem Statement

The perpendicular line issued from the center of the circumcircle to the bisector of angle CC in a triangle ABCABC divides the segment of the bisector inside ABCABC into two segments with ratio of lengths λ\lambda. Given b=ACb = AC and a=BCa = BC, find the length of side c.c.
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