Final answer:
The tendon that runs through the intertubercular sulcus is the long head of the biceps brachii tendon, and the artery is the antibrachial artery.
Step-by-step explanation:
The tendon that runs through the intertubercular sulcus is the long head of the biceps brachii tendon. This tendon attaches the biceps muscle to the humerus bone in the upper arm.
The artery that runs through the intertubercular sulcus is the antibrachial artery or the brachial artery as it extends into the forearm.