Geometry Problems, Online Education

Problem 1098: Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations. Level: High School, SAT Prep, College Geometry

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The figure below shows the circles O1 (radius r1) and O2 (radius r2). A1A2 and B1B2 are the common external tangents and CD is a common internal tangent. Prove that r1.r2 = A1C.A2C.
 

Geometry Problem 1098 Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations
 

 

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Last updated: Mar 14, 2015