Was I right to do this?

So I work in an office. I have two other people on my team but one left for a new job so now it is just me and my colleague. My colleague is not stepping up to take on the work and she is not trying to help. She is on her phone all day and she asks the same question every day. She is really testing my patience. She left 15 mins early the other day as she snook out when the manager was in a meeting. I told the manager on her. Was I right to do this?

Was I right to do this?
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