Final answer:
The United States proved its strength and legitimacy in the War of 1812 through naval victories, such as the USS Constitution's ability to out-sail the British. The war also generated a surge of national pride and solidified American identity.
Step-by-step explanation:
The War of 1812 proved the strength and legitimacy of the United States through various factors.
Firstly, the USS Constitution, also known as 'Old Ironsides,' showcased the American naval victory over the British. The Constitution's ability to evade capture and outsail the British Navy demonstrated American ingenuity and skill in shipbuilding and warfare.
Secondly, the War of 1812 generated a surge of national pride and solidified American identity. The Battle of New Orleans, even though it technically occurred after the war, was seen as a significant American victory and further strengthened the nation.