Online Geometry Problem 909: Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Incenter, Inradius, Distance. Level: High School, College, Mathematics Education

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In a bicentric quadrilateral ABCD, I is the incenter , O the circumcenter, and r the inradius, If AI = a, BI = b, CI =c, and DI = d, prove that .
A bicentric quadrilateral ABCD is a convex quadrilateral that has both an incircle I and a circumcircle O.

Geometry Problem 909: Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Incenter, Inradius, Distance