how did the conclusion of the franco prussian war led to hostilities between germany France and Britain

The French were left very discontent by their embarassing defeat at the hands of the Prussians. Prussia as a result of the war took Aslace Lorraine and grew in size. Because of this new incredibly powerful military state tentsions increased substantially in Europe. This increase in tension includes the British.

The Franco-Prussian War of 1870-1871 ended with a humilliating defeat of France. The greatest humiliation was the proclamation of the unified German Empire at the Palace of Versailles, the palace of French kings. Germany also took Alsace and Lorraine, a territorial conquest. All of this sowed the seeds of animosity, resentment and further rivalry between France and Germany. Besides, Germany was rather a latecomer to the colonial partition of the world, its late industrilization fed demands and expectations about colonial expansion. This caused clashes with Great Britain and France that had large colonial empires in Africa and Asia.