The four areas in the kitchen that need to be cleaned on a weekly basis are:
1. Countertops – Clean all work surfaces where food is prepared.
2. Sink and Faucets – Ensure that the sink and taps are free from food debris and grease.
3. Stovetop – Clean the stovetop to remove any spills or stains caused by cooking.
4. Refrigerator – Wipe down the interior of the fridge, especially shelves and drawers.
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.