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GeoBunny Sangaku

Saw this nice Sangaku puzzle at GeoBunnies. http://geobunnies.com/post/131434948483/sangaku-pink-and-green-circle-geobunnies-in-a Given two circles inscribed between the diagonals of a right trapezoid against the parallel sides, can you find the length of one of the bases in terms of the distance between them and the circle radii?