The ideology of ’liberalism’ had a profound impact on Europe in the early nineteenth century:
1. Political Changes: Liberalism advocated the ideas of liberty, equality, and constitutional governance, influencing revolutions like the 1830 and 1848 uprisings.
2. Economic Reforms: Liberal thinkers supported free markets and the abolition of feudal restrictions, promoting industrial growth.
3. Nationalism: The idea of liberal nationalism inspired movements for unification in Italy and Germany.
4. Education and Individual Rights: Liberalism emphasized education, freedom of speech, and the rule of law, shaping democratic ideals.
5. Abolition of Privileges: It opposed the dominance of aristocracy and clergy, promoting meritocracy in society.
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. 