How come Belgium was able to annex such a large area in Africa, that was also quite full of resources, without much challenge from other colonial empires e.g. France or the UK?
A small note in advance: The state of Belgium actually only acquired Congo in 1908 - before, it was a private possession of Leopold II, the Belgian King, who founded the so-called "Congo Free State" as an absolute monarchy administered by a Governor-general.
Leopold had already tried to acquire an overseas empire for several decades; and founded the International African Association, an ostensibly philanthropic organisation that actually pursued the King's economic and political goals in the Congo basin with the intention of creating a colony. In 1879, the "International Association of the Congo" (or Congo Society), which would provide the organisational and institutional structure for the Congo Free State, was also created and through this organisational framework, Leopold funded the exploration of the Basin by men such as Henry Morton Stanley, who stayed in the Congo from 1878 to 1885. Leopold funded PR campaigns abroad to paint him in the benevolent light of the civilised humanitarian, i.e. by announcing his intentions to combat slavery. Formal control and the great power’s recognition of Leopold’s ownership of the Congo was achieved at the Berlin conference (or Congo conference) in 1884. Leopold was successful for a number of reasons:
To sum up, Leopold had been active in the region for decades before the official creation of the Congo Free State. Promises of free trade and neutrality in a rich and potentially prosperous region that would be essentially administered by a company instead of a nation state proved attractive for the European powers at a time of competition and rampant fear of falling behind in the “scramble for Africa” – after all, the primary concern of most colonising nations was economic in nature.
Craven, Matthew: Between law and history: the Berlin Conference of 1884-1885 and the logic of free trade. London Review of International Law, Volume 3, Issue 1, 2015, 31–59