Common words that rhyme with irresolute include resolute, absolute, dilute, attribute, substitute, route, peracute, contribute, reinstitute, constitute, dispute, commute, cute, taste and dote.
She has absolute trust in her best friend.
He changed his mind last minute.
Patience is her best attribute.
You can substitute honey for sugar.
He wrote an eloquent tribute to his mentor.
I'm not sure which route is fastest.