Does a triple divorce take effect if the wife does something that angers the husband, which the husband intended when he said to his wife: "If you do this again, I will take you to your family, and you will get it with the three [talāqs]?"

If you condition a divorce on your wife doing something that angers you, then if that which angers you occurs, the divorce takes effect. This is because intention can specify or generalize an oath. The intention is referred to in matters of oaths. Some scholars hold that it is an oath requiring an expiation for breaking an oath (kaffarat yamin) upon its violation. If your intention was merely to warn and threaten, then a promise of divorce has no consequence unless the husband enacts it. You should review your intention and purpose, and it is best to present the matter directly to scholars.