Performing two or more tasks at the same time is known as 'Dovetailing.' This approach allows tasks to be completed efficiently by overlapping them. For example, Ria washes dishes while cooking, utilizing her time effectively.
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.