How does Agave kill Pentheus in Euripides’ Bacchants?

In the play Bacchae (also known as Bacchants), the god Dionysus punishes King Pentheus for rejecting his divinity by driving him into a state of madness. Dionysus lures Pentheus to the mountains, where the king is caught in a bacchic frenzy involving the women of Thebes and his own mother, Agave.12

Under the influence of the god, Agave and the other women—acting as maenads—tear Pentheus to pieces with their bare hands. Agave, still in a state of delusion, returns to Thebes triumphantly carrying her son's head, believing she has slain a lion, until her father, Cadmus, helps her regain her sanity and recognize the horrific reality of her actions.23