Because they go RARRRRRR & slash other animals to bits with their big sharp claws & big gnashy teeth, & the other animals try to fight back but the tiger often wins.
Like all animals they are born with it and learn to adapt with the strength they have Tigers hunt primarily between dusk and dawn, and they attack using the same method as do the lions. They stalk, chase, and attack, bringing down and killing the prey with usually a bite to the nape of the neck or the throat. The bite to the throat allows the tiger the ability to suffocate the prey bringing death relatively quickly and painlessly.
they don't, they just attack and it usually kills whatever they were after.
they don't really think about it.
Without being able to measure their strength or weight, how do tigers know they're strong?