Whether you are dead or alive, zombies will still eat you. They will gulp down every soul, flesh, and blood. Those creatures do not seem to have any sense. They are undead, so they will be acting in inexplicable ways, narrowing the line between the dead and the living.
Source
This is why if I found myself in a Zombie apocalypse, I would target their brains. And I would choose a weapon that can cut deep into that murky water-filled (kidding, I don't know what's inside there, lol) and senseless components in their bodies.
Their strength seems to come from their ability to use eerie faces, disgusting-looking teeth, dead skin, and bloody hands to make us afraid. And since we are humans, fear is an emotion that can be used against us. Apart from the fears, Zombie instills in us, since they spread viruses, infection, and sometimes a plague, they do not seem to have any iota of sense in them. Or do they?
If they did have sense, why are they always walking in the same direction, acting in the same way, as robots? ( Even robots are better actors). What they bring to humanity is chaos, fear, and disaster, and allowing them to breathe would be a serious offense in the court of the living (that's not a real court, is it, now?)
In a typical Zombie apocalypse, I would bring an arrow and a drawstring bow. Before then, I should have been a great archer, with a top-notch archery skills, so that at any angle or direction, my shooting horizon, aiming abilities, and the possibility of hitting the target will be perfect.
To stay safe while fighting the war against zombies, an arrow will be effective for me. Since I wouldn't need to be close to them to load, aim, and fire them in their mid-wit brains. I'll choose a position that will help me see them well enough.
A tower or some height, standing in a position that is comfortable enough, and being firm/alert in case one of them jumps at me unexpectedly, I'll Point my bow toward one of the zombies I'll be targeting, draw the bowstrings towards my face, and release the strings in a way that it will not wobbles nor miss those mid-wit's brains.
One by one, I'll take them out, disabling their ability to attack me, my loved ones, and my community again. I will not be doing this alone, that would be a disastrous plan. I'll rally up good archers with perfect archery skills, and we will stand side by side as warriors ready to rain hell on those zombies even before they get to our loved ones. This group of archers will be committed to defeating the eerie-faced monsters and we will bring our A-game to the fight.
We won't allow them to infect us or loved ones but if any of my archers get pinned or infected, we will have no choice but to shoot them in the brains. Although we will feel the loss, it will be better than losing our entire community and letting humans be extinct.