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Math: Geometry Problem 1019: Circle, Diameter, Perpendicular, Chord, Tangent, Sum. Level: School, College.

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The figure below shows a circle of diameter AB. MN is perpendicular to BA extended at H so that the circle of center C and radius CA is tangent to MN at E and circle of center D and radius DA is tangent to MN at F. Prove that AC + AD = AB.
 
 

Geometry Problem 1019: Circle, Diameter, Perpendicular, Chord, Tangent, Sum

 


 

 

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Last updated: Sep 19, 2014