Dimensional analysis is a powerful instrument in the physicist's arsenal, It not only helps to check equations, but can also be used to derive important ones. We illustrate this by deriving some important expressions in black hole physics. Starting with a simple input, namely that the properties of an uncharged, non-rotating black hole depend only on the mass (that 'no hair theorem') we employ dimensional analysis to derive expressions for the area of the event horizon, the entropy, the evaporation time and the Hawking temperature, among others. Our derivations are accessible to pre-college students, but its exotic implications may leave them pondering for a very long time. [ABSTRACT FROM AUTHOR]