Final answer:
The French troops achieved a critical victory at the Battle of Austerlitz, which led to an Austrian armistice and Russian retreat, elevated Napoleon's status as a commander, and expanded the French Empire's reach.
Step-by-step explanation:
The result of the Battle of Austerlitz, often cited as Napoleon's greatest victory, was a decisive win for the French troops. On December 2, 1805, also marking the one-year anniversary of Napoleon's coronation as Emperor, the French forces achieved a major victory against the Austro-Russian army. France's triumph at Austerlitz led to Austria seeking an armistice, and the retreat of Russian forces back into Eastern Europe.
This victory not only solidified Napoleon's reputation as a military strategist but also essentially shattered the Third Coalition against the French Empire. Subsequently, these achievements allowed France to gain lands and influence, boosting national morale and affirming Napoleon's position in Europe.
The effects of Austerlitz were far-reaching, even influencing Napoleon's personal life, as he would later annul his marriage to pursue a more politically advantageous union with a member of the Austrian royal family, further solidifying his empire.