Home Geometry Problems 311-320 Semicircle Harmonic Mean View or post a solution  
Problem 311: Circle Inscribed in a Semicircle, Chord, Diameter.
Level: High School, SAT Prep, College geometry.

In the figure below, circle C is inscribed in a semicircle with diameter AB. If D and E are the tangency points, prove that Conclusion to prove or x2 is the harmonic mean of a2 and b2.

circle inscribed in a semicircle, chord 

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