It's impossible to tell exactly what the internal damage is from external pictures, though as a tech I've seen cases that look very much like that caused by the hinge separating from it's mounts to the chassis. Usually the hinge itself (a metal mechanism) is screwed into mounts (usually nuts of brass or some similar metal) securely fastened to the hard plastic shell. Under stress (such as in a fall, or if the lid is closed over a hard object near the hinge) either those nuts pull out of the durable epoxy holding them into the chassis and/or the plastic frame itself cracks around those mounts.
Older laptops tended to have the mounts in the BOTTOM chassis though it's increasingly common to see it mounted to the TOP frame. Newish HP...