Black Cleaver vs Trinity force on Kayn as a late game option?
http://matchhistory.euw.leagueoflegends.com/en/#match-details/EUW1/3295393569/41586474?tab=stats
So as you see from link above I was playing assasin Kayn mid yesterday, I played it many times now and early build seems pretty simple to me — stack lethality to synergize with the runes and his ad ratios, and pick up last whisper if the enemy team is getting too tanky. Now when it comes to last item Im confused. I know people build cleaver on kayn almost as a staple, but my primary targets squishies already have their armor values brought down close to 0, just from lethality and last whisper, and cleavers shred only happens after my damage is already done via spells, so it does not help me much, and its not my job to hit tanks anyway, if anything it would help my team to do follow up damage.
On the other hand, trinity force would give my lategame full combo additional 400 damage , since Im already doing it for the duskblade proc. W—Q— AA with duskblade + sheen proc.—Ult—Q— AA for another duskblade sheen proc to finish the full combo.
So thats why Im confused, as you see that game I went black cleaver, but I don't know if it was correct, should my final build contain trinity force instead, or maybe even deaths dance for the raw ad, damage reduction and cdr. Id like some insight and opinions on this, note that Im talking about assasin Kayn in the mid lane here.