Class B fires are typically caused by the ignition of flammable liquids such as oil, grease, or gasoline. These types of fires can be extinguished by using foam, dry chemicals, or CO₂, which help smother the flames and cut off the supply of oxygen.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.