Each face of the pyramid has an area of \(\frac{96}{4}=24\)

Now we could calculate each side of each triangle the pyramid is formed of





Using the ratio of the triangle 30:60:90

\(h=\frac{\sqrt{3}}{2}c, a=\frac{1}{2}c\)

Now use the area of the triangle

\(24=\frac{1}{2}*c*\frac{\sqrt{3}}{2}c\)


\(24*\dfrac{4}{\sqrt{3}}=c^2\)

\(c=7.44\)