To increase computer performance, consider the following actions:
1. Upgrade Hardware: Adding more RAM or installing a faster processor can significantly improve a computer’s speed and responsiveness.
2. Optimize Software: Regularly updating the operating system, defragmenting the hard drive, and cleaning up unnecessary files can free up system resources and enhance overall performance.
3. Close Unnecessary Programs: Running too many applications simultaneously can slow down the computer. Closing unused programs frees up memory and processing power.
In the adjoining figure, \( AP = 1 \, \text{cm}, \ BP = 2 \, \text{cm}, \ AQ = 1.5 \, \text{cm}, \ AC = 4.5 \, \text{cm} \) Prove that \( \triangle APQ \sim \triangle ABC \).
Hence, find the length of \( PQ \), if \( BC = 3.6 \, \text{cm} \).
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.