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Geometry Problem 938: Cyclic Quadrilateral, Triangle, Circumcircle, Circles, Circumcenter, Circumradius, Distance, Metric Relations. Level: High School, College, Mathematics Education

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The figure below show a cyclic quadrilateral ABCD with the circumcenter O. AC and BD intersect at E. The measures of circumradii of triangles AEB and CED are equal to 4 and 6, respectively. If the distance between the circumcenters of triangles AEB and CED is equal to 9, find EO.
 
 

Geometry Problem 938: Cyclic Quadrilateral, Circumcircle, Circles, Circumcenter, Circumradius, Distance, Metric Relations

 

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