Chutzpah and courage have certain elements in common. But they are on the opposite end of the scale.
Courage is a great virtue, while chutzpah is generally a negative trait.
An extreme definition of chutzpah has been given as someone who murders his parents and then claims that the court should be lenient with him because he is an orphan. A more common form is when a child speaks rudely to a parent, or when a student speaks to a teacher without respect. Chutzpah usually denotes that someone is doing or saying something that is not appropriate to do or say. The sage Yehudah, the son of Teima, made two statements which are cited in the fifth chapter of Ethics of the Fathers. Here we see that being bold is a virtue.