The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron (*not* a pyramid). The Pyraminx shown below has edges $15\,\text{cm}$ long and vertical height $h=12.2\,\text{cm}$. The triangle drawn with dashed lines is a right triangle.
**What is the distance $r$?**
Round your answer to the nearest tenth.
The distance is [[☃ input-number 1]] $\text{cm}$.
$\qquad\qquad\qquad$