GeoBunny Sangaku problem 3 (GEOM-10)

A sketch to investigate a sangaku-style problem from GeoBunnies.[br][br]In a right triangle formed in a semicircle, inscribe a rectangle. In each smaller triangle, formed by the rectangle, inscribe a circle. Find the arrangement so that the area of the two smaller circles equals the larger. Or, the sum of the smaller radii squared is equal to the larger radius squared. [br][br]Original: http://geobunnies.com/post/108852232268/sangaku-1-rectangle-3-circles-in-cmyk-a
More GeoGebra at bit.ly/mh-ggb

Information: GeoBunny Sangaku problem 3 (GEOM-10)