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Problem
1094: Tangent Circles, Tangent Chord, Radius, Sagitta of
Arc. Level: High School, SAT Prep, College
Geometry
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The figure shows the
circles O and Q tangent
at T. Chord AB is tangent to circle Q at D, AD = a and BD = b.
The
sagitta of arc AB is CM = c. If r is the radius of circle Q,
prove that a.b = 2c.r
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