A prism has a triangular base. The volume of the prism is 180 cubic centimeters (cm${}^3$), and its height is 10 cm. The triangular base has a base length of 9 cm. What is the height, in cm, of the triangular base? (The volume of a prism is $V=Bh$, where $B$ is the area of the base. The area of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base length and $h$ is the height of the triangle.)