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Sangaku: Square - 2 Triangles - 2 Circles

Sangaku: Square - 2 Triangles - 2 Circles Two equilateral triangles are inscribed into a square. Their side lines cut the square into a quadrilateral and a few triangles. Find a relationship between the radii of the two incircles. (H. Fukagawa, D. Pedoe - Jill Vincent & Claire Vincent) credit - http://www.hermay.org/jconstant/wasan/sangaku/index.html