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 circlesç”²,ä¹™as indicated. Find: the radius of circlesç”²,ä¹™. Solution: radius of circleç”²=1.6. radius of circleä¹™=1.2

Amazing book art by Brian Dettmer: American Peoples, 2011, Hardcover books, acrylic medium, 61" x 39" x 14" (154 x 100 x 34 cm) - Image Courtesy of the Artist and Toomey Tourell Fine Art