an alternative way to strengthen it would be with some pilates.
here are some exercises to try that will help stregthen your triceps:
Tricep Dip
Sit on a bench with hands right next to hips. Bring hips in front of bench and bend elbows to no lower than 90 degrees. Push back up without locking elbows. If you have wrist or shoulder problems, skip this move.
Tricep Press (a.k.a. Skull Crushers)
Lie on a bench and hold a light barbell with hands shoulder-width apart, palms out. Bend elbows to 90 degrees, lowering the weight towards the head. Squeeze the triceps to push back to start.
Variations:
Dumbbells
Resistance Bands/cables