Listed below are the ways another person will likely respond to your approach (by the letter of your approach). Is this the result you're looking for? How can you act to work out the conflict?
The result here is likely that the other person will just get madder, and you may never find out what the problem is. You will probably stay angry with the person because it's hard to start talking about the problem in order to solve it.
This will likely give the person a chance to calm down, and you can find out what the problem is. You will probably feel better once you speak your mind, and hopefully you can work it out.
The other person may not become angrier, but you will probably feel worse because you didn't express all your feelings. The friendship can't move forward because neither of you know what the other wants..
Not caring will likely make the other person even madder and will not help you figure out what the problem is. The friendship will never develop with only one person participating.