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Math: Geometry Problem 1008: Three Equal Tangent Circles, Sum of Tangent Lines, Tangency Points. Level: School, College.

Three equal circles A, B, and C are tangent externally (Fig. below). P is a point on the circle O that is tangent to the three previous circles. PA1, PB1, and PC1 are tangent to circles A, B, and C, respectively. Prove that PA1 = PB1 + PC1

Geometry Problem 1007: Hexagon, Midpoint, Triangle, Median, Centroid, Concurrency

 


 

 

 

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Last updated: Sep 19, 2014