This build is aimed for a trynda that can dash into a 1v1 or 2v1 or 3v1 and melt down everyone pretty easily. He can melt down most champions easily but he can be shut down by hard crowd control that can prevent him form using his ultimate

PROS:
CAN ACHIEVE EASY MULTIKILLS
VERY QUICK TAKEDOWN
VERY HARD TO KILL
CAN SUCCED IN VARIOUS LANES
GOOD PUSHER
GOOD MOVEMENT
AMAZING FARMER

CONS:
SHUT DOWN BY CROWD CONTROL SUCH AS STUNS KNOCKBACKS OR ROOTS AND SILENCES
CAN BE EASILY KILLED BY OVER TIME DAMAGE OR GRAVIOUS WOUNDS
COUNTERED BY TEEMO

His summoner spell heal is aimed to combine with his ultimate to delay his death and make him more durable as he has to stay alive as long as possible in a fight to unleash his fury
The ignite exists, in case trynda has to leave the fight,or he need to maximize his damage and apply gravious wounds and reduce healing

Tryndamere is a melee ad carry. Instead of mana he uses fury. When he does a basic attack he gains fury which goes up to 100. Tryndamere gains critical strike chance tepending to how much fury he has. He is built up with high attack speed to gain fury and critical to maximize his passive. He can be a great jungler or even a solo top. His q consumes his fury to heal him for a small ammount which depends on how much fury he has so it is better to use your q when your fury is not empty. His w lowers the attack damage of champions facing him and his e makes him dash to a direction doing damage along the way as he spins his sword, and it can be used to go through most walls as well. And finally, his ultimate instantly gives him some fury, and makes him unable to die (go below 1 health) for 5 seconds. His ultimate should be used at the last moment before he dies to prevent it

Trynda ,the best he can do to support his team, is try to shut down the carry, or anyway a damage dealer or at least force him away from the fight,as he could dash behind the enemy lines and take them down easily. Tryndamere's w is exeptional for team fights as well as his heal.

The runes applied give him a start with high attack speed to generate his fury and thet way benefit his healing. Also they slightly empower his critical damage

Fighting with the barbarian king: in a fight, you would dash in with his e ,apply your w if they plan to fight ,immediatly, or if they intend to run wait for them to do it so that you can slow them down, start focusng someone,BUT if you are below half health watch your health bar,and when you are low enough use your q first to consme fury and then use your r that will give that fury and critical back to you

His masteries are the standard for a dps, trying to make him alive for as long as possible os that he can go right back into the fight