Geometry Problem 1406: Four Congruent Circles, Sum of the Squares, Measurement, Metric Relations

Proposition

Four congruent circles of centers A, B, C, and D intersect as shown. If P is a point on the circle D, prove that PA2 = PB2 + PC2.
 
 

Geometry Problem 1406: Four Congruent Circles, Sum of the Squares, Measurement, Metric Relations, Tutor

 

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