Triceps dips are a compound exercise. They work almost every major upper body muscle group and engage your core. Triceps dips are another exercise that can be done at home or while traveling without the need for a gym. You can use a the floor, a sturdy chair, or a bench. While triceps dips are a great way to work your arms, they aren’t for everyone. If you have a shoulder injury I do not recommend this exercise. It can cause further damage or injuries.