The past tense of trigger is triggered. The third-person singular simple present indicative form of trigger is triggers. The present participle of trigger is triggering. The past participle of trigger is triggered.

Has triggered or have triggered?

He/She/It has triggered. I have triggered. You/We/They have triggered. He/She/It has been triggering.

Is has the present tense of have?

In the present tense, have is the first person singular and plural, second-person singular and plural, and third-person plural conjugation of this verb. Has is the third-person singular present tense.