Final answer:
The most appropriate justification for entering the house in this scenario would be exigent circumstances.
Step-by-step explanation:
In this scenario, the most appropriate justification for entering the house would be exigent circumstances. Exigent circumstances refer to situations where there is an immediate threat to life, safety, or property that requires immediate action without obtaining a warrant. In this case, the assault in progress, evident by the sounds of yelling, screaming, and glass breaking, would constitute an immediate threat, justifying the officer's entry into the house to intervene.
However, it is important to note that the officer should still follow proper procedures, such as announcing their presence and identifying themselves as law enforcement.