carrots are fine, just keep in mind that they contain quite a bit of sugar - a pound of baby carrots contains about 22 grams (a little over 3/4 of an ounce) for example.
however, since the digestive tract of dogs can't break down plant cell walls, it's not really a concern if you feed the carrots whole and raw - the dog will not digest much of them that way.
if you want to include them as a part of the diet, you need to either grind the raw carrots finely (e.g. in a blender or food processor) or steam them and then mash them up a bit with a fork.
any fruits or veggies added raw and in large chunks just bulk up the portion size of meals but don't contribute much nutrition.