A C210's left brake failed on landing causing it to depart the runway at a very slow speed. Some damage too the horizontal stabilizer resulted.

Narrative

At approximately 30 MPH on landing roll out on Runway 34; the airplane departed the runway; crossing a grassy area; and struck a runway sign on the right side resulting in damage to the horizontal stabilizer. Weather was not a factor. My landing; using 20 degrees of flaps; was within the first third of the runway and was uneventful. Using aerodynamic braking by holding the nose up; I allowed the plane to decelerate. When I applied the brakes I immediately realized something was wrong and verbalized this to my passenger who is a pilot. The left brake was not responsive although the right responded. I decided that to continue straight ahead would result in a propeller strike by hitting a drainage area and/or the fence. I depressed the right brake hard and the plane traveled off the runway to the right crossing the grass; missing the reflectors but hitting the metal runway sign. I taxied back to my hangar. On the day of the accident I flew approximately two hours from the east and landed to drop off a passenger. Landing on Runway 27 and taxiing to the FBO; I had no indication of possible brake problems. I departed and took off on Runway 35. I use differential braking to help steer when taxiing and again no indication of a possible problem with the left brake. I have developed an extensive checklist because of the power and complexity of the T210. I will add check brakes before takeoff and a brake check on downwind to test their responsiveness. Gear is down before I enter the pattern at the 45 so this additional task does not interfere with my routine.