Final answer:
The Parkerian Hexad principle of obsolescence is precipitating the destruction of the backup tapes because the company can no longer use them due to incompatibility with current equipment.
Step-by-step explanation:
The principle from the Parkerian Hexad that is leading the company to destroy old backup tapes is obsolescence. The CIA triad, consisting of confidentiality, integrity, and availability, does not directly address obsolescence. The Parkerian Hexad adds three more attributes to these: possession or control, authenticity, and utility.
In this case, the principle of utility is affected because the company cannot use the tapes anymore due to the lack of compatible equipment, rendering the tapes useless or obsolete. Hence, the tapes are being destroyed.