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Geometry Problem 1159: Triangle, Circumcircle, Sagitta, Chord, Arc, Metric Relations. Level: School, College, Mathematics Education

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The figure below shows a triangle ABC and the circumcircle O. DE and FG are the sagittas of arc AB and BC, respectively. Circumcircles of triangles BED and BGF intersect at H. If DE = 9 and FG = 5, find BH.

 

Geometry Problem 1159 Triangle, Circumcircle, Sagitta, Chord, Arc, Metric Relations

 

 

 

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