Welcome, this is my first guide, and this is the build I use almost every game (with appropriate variations) This guide is mostly to show my friends what I do, and the above order of items in never set in stone for late game, but everything else is.

This makes Tryndamere a beast once he hits lvl 14.

ALWAYS get 2 HP pots and your Brawlers gloves, IDC who you are this works for me every game to start with. while laneing if you have to go back to your nexus before you have 1650 gold you'll go ahead and get your zeal, your boots if you have enough(if not then save up for that 1650), then save the rest of your gold until it hits 1650. Otherwise you'll lane till 1650 and try to go back when convenient for you and get your B.F.Sword. In the end you're getting that B.F.Sword before anything big.

You can guess what we're building towards next, the next time you go back you'll get boots or as soon as you have enough gold to get both a clock of agility and boots. next comes your pick axe then your infinity edge... Don't be afraid to help gank and do minor jungling as you run through the map to set up ganks, quick easy lvls and gold thanks to the B.F.Sword, and you'll be building up fury to increase your crit chance.

now that you have your infinity edge you should be able to rake in kills easy enough with some cooperation from your team, work towards the Phantom Dancer and grabbing Mercury's Treads on the way

Here is where YOU decide what you need to counter the other team, honestly I always feel life steal is a good choice, because as soon as you deal your damage and run (because you used endless rage and you know it) you can just hit up some jungles and be back into the fight, THANK YOU VAMPIRIC SCEPTRE!

Usually there are AP knuckle heads on the other team, GO Force of Nature! if they're heavy AD maybe a Thornmail or Warmog's Armor.

Now the the centre piece, The Bloodthirster!

you have one slot left in your inventory, I'd suggest you fill it with either another Bloodthirster, Phantom Dancer, Youmuu's ghostblade, or a last whisper.

*will pick this up later, this is all unfinished*