Your motherboard does NOT have an IDE interface, so the only way you can use a PATA drive is to buy a PCI IDE card and fit it on the PCI slot, unless you already have some other expansion card in the single PCI slot. You can check the specs here:
*h10025.www1.hp.com/ewfrf/wc/document?docname=c01386897&lc=en&cc=us&dlc=en&product=3686678&lang=en
The reason why many of us dislike branded computers is that, for reasons known only to them, they don't follow the ways things are done in the rest of the world. Most motherboards still have one IDE port and at least two PCI slots.