Here's a few of my favorite Trivium songs for this #threetunetuesday by 
This one is great, I love the drums at the intro and guitar riffs. Randomly in the middle of the night sometimes I get that riff stuck in my head.
Here's another one with great drums that always gets stuck in my head. I went to a concert when these guys released this album and they toured with Children of Bodom and In Flames.
This one has a great buildup and some great melodic solos. Their solos are quite difficult to learn and have a unique Trivium sound.
That's all for now, thanks for looking :-)