Sounds like a "control arm". Ouch!
So, did the wheel go flying off, or did the corner of the car just drop onto a wheel stuck at a 45 degree angle or so, acting as an anchor (sounds more like that)?
These parts do have very high shear forces on them, balancing the down force from the springs, against the up from the wheels. More so, when the rear is loaded (with passengers, or cargo). Still, it should WAY outlast that, with an unmodified factory suspension (some suspension modifications can also add to the stresses on it).
You might want to check nhtsa.gov for a recall. Car makers have been known to stamp these out of too thin material, and then release a reinforced version after some time. If that is the case, it would be a good idea to replace both sides, assuming the car is salvageable.