The two primary types of Chikankari embroidery work are Jaali and Keel Kangan. Jaali involves open-work embroidery, while Keel Kangan is a type of floral design.
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. 