The area of an equilateral triangle is $4\sqrt{3} {\mathrm{cm}}^2$. Its perimeter is

The height of an equilateral triangle is $3\sqrt{3} \mathrm{cm}$. Its area is

The base and height of a triangle are in the ratio $3:4$ and its area is $216 {\mathrm{cm}}^2$. The height of the triangle is