A student pilot reported an unstable approach resulted in a hard landing and brake failure.

Narrative

I lined myself up with the centerline for a shortfield landing at ZZZ for runway XX. As we were coming in to land; I said in my mind I needed to be at 900 msl for crossing the 100 ft obstacle. I slowed down to about 72-74 knots. As we were approaching the threshold on final; I second guessed myself and aimed for 860 msl; thinking that I would be 50 feet above the obstacle. I realized as I got about 100ft from the threshold that I was too low and tried to pitch up to recapture altitude to 900 msl. I didn't think to put in power so I could maintain altitude; as we were on the back end of the power curve. I only pitched up. As we climbed; we got really slow; because I traded airspeed for altitude. I heard the stall horn go off and immediately pitched down to recapture airspeed; but it didn't work. We dropped from 40-60 feet hard on the runway. We bounced to the force of the impact. Person A took controls and tried to stop us after the bounce. He then noticed that the brakes weren't functioning. It was at this moment he let off the brakes and let us come to a stop gradually. No injuries to report. We then tried to taxi off the runway but then noticed that the left brake wasn't functioning; meaning we have a leak in the brake system or a disconnect. We were stuck on the active runway. Person A attempted to get off using the right brake; to no avail. After this attempt we shut down the plane; and Person A grabbed the tow bar and pulled the plane off the active runway as I made radio calls to ensure no one landed nor took off with us still on the runway. Before leaving ZZZ1 I made sure the tires were at main tires were at around 48 psi and I believe the nose wheel was at 28 psi. This is what prevented the tires from popping. We landed center the runway. After we were clear; we had help from ZZZ ground in getting us and the plane to the FBO. We tied her down and waited for maintenance.