Math CentralQuandaries & Queries


Question from Ameya, a student:

Two circles of radii a and b (a > b) touch each other externally. ST is a common tangent touching the circles at S and T respectively, then ST^2 is equal to

Draw an accurate figure (for example with a = 3 and b = 2), then add a line through T that is parallel to the line joining the the centers of your two circles. What can you say about the triangle bounded by that new line, the radius through S, and the line ST?


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