As a hat enthusiast, it is one of the things that slightly annoy me when people confuse the two.

This is a trilby.

It is the one associated with neckbeards and the friend zone.

Contrary to popular belief, it IS possible to look good in a trilby, however, you need to have the proper attire. I suggest a matching button up shirt, tie, tucked into pants that are NOT blue denim jeans AND you need ot be wearing a belt. 

You CANNOT wear it with a normal T-shirt.

This is a fedora

Notice the wider brim and it does not fold in the back. This is associated with adventurer/archaeologists and like the trilby, must be worn with the proper attire.

Now that you know, Start calling them by the proper terms. Fedoras get so much shit when they aren’t even the proper hats.