MathDB
2012-2013 Winter OMO #6

Source:

January 16, 2013
Online Math Openrotationgeometrygeometric transformation

Problem Statement

Circle S1S_1 has radius 55. Circle S2S_2 has radius 77 and has its center lying on S1S_1. Circle S3S_3 has an integer radius and has its center lying on S2S_2. If the center of S1S_1 lies on S3S_3, how many possible values are there for the radius of S3S_3?
Ray Li
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