Final answer:
The UN and NATO ended bloodshed in Bosnia by sending peacekeepers and conducting airstrikes, leading to the Dayton Accords and a successful peacekeeping mission backed by NATO troops, with ongoing support from the European Union.
Step-by-step explanation:
The UN, NATO, and the European Union played significant roles in ending the bloodshed in Bosnia during the 1990s. Initially, the United Nations sent peacekeepers to the region, but as the conflict escalated, a more forceful intervention was necessary. Under strong pressure from European nations and the United States, NATO intervened in 1995 with airstrikes against Bosnian Serb forces. These events led to peace talks in Dayton, Ohio, culminating in the signing of the Dayton Accords, which created the Federation of Bosnia and Herzegovina with a multiethnic unity government. A significant military presence of 60,000 NATO troops backed the establishment of the new state and helped to uphold the peace agreement. Additionally, the European Union has continued to support the region through various initiatives aimed at rebuilding the area and promoting stability.