The Palace of Peace and Accord in Astana, Kazakhstan, was built in $2006$. The building has a square right pyramid structure. The length of a side of the square base is $62\,\text{m}$, and the vertical height of the pyramid is also $62\,\text{m}$.
**What is the height, $h$, of one of the triangular faces?**
Round your answer to the nearest tenth.
The height is [[☃ math-keypad 1]] $\text{m}$.
$\qquad$