Answer:
Using a causative sentence to describe the situation:
The boxer had his nose broken during a match.
or
The boxer got his nose broken during a match.
Explanation:
The verbs "have" and "get" can be used as causative verbs. That means they can indicate that the subject of the sentence is not the one who performed the action. Mostly, causative verbs are used when we wish to imply that we asked or paid someone else to do something for us. For example: I had my house painted last summer. --> I was not the one who painted the house. I paid someone to do it for me.
Having that in mind, we can take the situation in the question (the boxer whose nose broke during the match) and describe it with causative verbs in the following manner:
The boxer had his nose broken during a match.
or
The boxer got his nose broken during a match.