The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron. The Pyraminx shown below has edges 15\,\text{cm}15cm15, space, c, m long and vertical height h=12.2\,\text{cm}h=12.2cmh, equals, 12, point, 2, space, c, m. The triangle drawn with dashed lines is a right triangle.
What is the distance rrr?
Round your answer to the nearest tenth.