The Breakers made it two wins from three games since returning to New Zealand to finish their campaign, having been based in Australia since December.
With both teams eliminated from finals contention, late season pride and contracts for 2021-22 were on the line in Christchurch.
Seventh placed Adelaide had lost their last four games, not having won since May 9 in overtime, while the Breakers, sitting eighth on the table, entered with losses in six of their past eight outings.
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Finn Delany paced the Breakers with 14 points and six rebounds in their win over Adelaide on Tuesday.