In India, the possession of arms is regulated by the Arms Act of 1956. This Act outlines the legal requirements for acquiring, possessing, and using firearms in the country. It also ensures that firearms are used only for legitimate purposes.
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.