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8

Part of 2006 Sharygin Geometry Olympiad

Problems(1)

segment divides square in 2 tangential polygons, find length in terms of inradii

Source: Sharygin 2006 VIII-IX CR 8

8/23/2019
The segment ABAB divides the square into two parts, in each of which a circle can be inscribed. The radii of these circles are equal to r1r_1 and r2r_2 respectively, where r1>r2r_1> r_2. Find the length of ABAB.
geometrysquareSegmenttangential quadrilateralinradius