[tex]\bf \textit{height of an equilateral triangle}\\\\
h=\cfrac{s\sqrt{3}}{2}\qquad
\begin{cases}
s=\textit{length of a side}\\
---------\\
s=16\sqrt{3}
\end{cases}\implies h=\cfrac{16\sqrt{3}\cdot \sqrt{3}}{2}
\\\\\\
h=\cfrac{16\cdot 3}{2}\implies h=8\cdot 3\implies h=24[/tex]
