1) Circle *O* is a unit circle. Segment AS has length (12/5) and is tangent to circle *O* at A. If *P* is the intersection of *OS* with circle *O*, find length *PS*.

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2) Two circles, centered at *A* and *B* are externally tangent to each other, and tangent to a line *L.* A third circle, centered at *C* is externally tangent to the first two circles, and the line *L.* If the radii of circle *A* and circle *B* are 9 and 16, respectively, then what is the radius of circle *C.*

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Guest Mar 3, 2019