Second problem from the bottom right corner on the Katayamahiko shrine. A circle of radius r inscribes three circles of radius t, the centers of which form an equilateral triangle of side 2t. Find t in terms of r.
Given: a 3-4-5 triangle and two mutually tangent circles甲,乙as indicated. Find: the radius of circles甲,乙. Solution: radius of circle甲=1.6. radius of circle乙=1.2