In the ABC of First Aid, 'B' stands for Bandage. This refers to the process of dressing a wound or injury using a bandage, a key component of providing first aid before medical help arrives.
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.