Tweezers are precision tools used to pull out hair by grasping and plucking them from the root. They are commonly used for shaping eyebrows or removing unwanted hair. Other options like blackhead remover and cuticle pusher serve entirely different 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. 