RWY EXCURSION BY A PART 125 DC9-10 THAT LOST ITS R MAIN BRAKING SYS ON THE ROLLOUT ON RWY 27 AT TLH.

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I WAS THE CAPT AND PF ON THIS FLT. THE FO WAS PERFORMING THE PNF DUTIES. THE FLT WAS UNEVENTFUL FROM TKOF IN CLT TO LNDG AT TLH. TOUCHDOWN WAS NORMAL IN THE TOUCHDOWN ZONE OF THE RWY. REVERSE THRUST WS APPLIED AFTER TOUCHDOWN AND BRAKING WAS USED LIGHTLY AT HIGH SPDS WITH NO PROBS NOTICED. THE 60 KT CALLOUT WAS MADE. AS WE APCHED THE SECOND TO LAST TXWY; THE TWR REQUESTED THAT WE EXIT THE RWY AT THE END. AS WE APCHED THE END OF THE RWY; I APPLIED THE BRAKES TO SLOW THE ACFT; THERE WAS NO RESPONSE AND THE BRAKE PEDALS WENT ALL THE WAY TO THE FLOOR. I EMPHATICALLY ANNOUNCED 'BRAKES.' THE FO TRIED TO ASSIST WITH THE BRAKES; BUT HE HAD NO RESPONSE ON HIS SIDE EITHER. NO MASTER CAUTION LIGHT WAS OBSERVED AT THIS TIME. I APPLIED FULL REVERSE THRUST ATTEMPTING TO STOP THE ACFT. I STEERED THE ACFT STRAIGHT AHEAD TO AVOID ANY UNFORESEEN OBSTACLES AND MOVED THE BRAKE SELECTOR TO THE L SIDE. THE ACFT CAME TO A STOP IN THE GRASS WITH THE VERT TAIL ABOUT EVEN WITH THE END OF THE RWY. HYD FLUID WAS FOUND ON THE RWY WITH THE BULK CONCENTRATION AT THE POINT WHERE BRAKES WERE APPLIED BUT FAILED. THERE WAS NO HYD FLUID OR PRESSURE REMAINING IN THE R SYS. SUBSEQUENTLY; I LEARNED THAT A HYD LINE HAD COME LOOSE FROM A FITTING ON THE R HYD SYS. THERE WERE NO INJURIES; NOR DAMAGE TO ACFT. SUPPLEMENTAL INFO FROM ACN 623123: HYD FLUID WAS FOUND ON APPROX THE LAST 2700 FT OF THE RWY. CALLBACK CONVERSATION WITH RPTR ACN 623271 REVEALED THE FOLLOWING INFO: THE FO MENTIONED THAT HE HAD BEEN A CONTRACT PLT FOR 25 FLTS WITH THIS PARTNERSHIP GROUP; NUMBERING SEVERAL OWNERS; WHO WERE INTERESTED IN PURCHASING THE ACFT AND WERE ON BOARD. THE PART 125 OP WAS BECAUSE OF THIS PVT OP. FO SAID THAT THIS WAS AN OLDER DC9-10 WITHOUT STATING WHY HE THOUGHT THE HYD LINE CAME LOOSE. ANALYST FELT HE DID NOT WISH TO COMMENT ON THAT ISSUE. THE ACFT WAS TOWED OUT OF THE DIRT BY 2 WRECKING TRUCKS WITH TOWING STRAPS WRAPPED AROUND EACH MAIN GEAR.