As illustrated, in a
right triangle ABC (AB = 3, BC = 4) the congruent
circles O1 and O2 are tangent to each other and to the
hypotenuse. AB is tangent to circle O1 and BC is tangent to
circle O2. Find the measure of radius of circle O2.
of Problem 1193: Machu Picchu, "Lost City of the Incas".