Online Geometry Problems, High School, College

Online Geometry Problem 672: Internally tangent circles, Chord, Tangent, Geometric Mean. Level: High School, Honors Geometry, College, Mathematics Education

Geometry problems 661-670

The figure shows the circles O and O' tangent internally at A, and the center O is on the circle O'. A chord BC is tangent to circle O' at D. Prove that AD is the geometric mean of BD and CD.
 

Internally Tangent circles Problem

 

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