What does it mean when we say that in blockchain, consensus determine the truth?
It is determine the truth as all the network must agree on the data added to the network to validate it. All data must be verified, no one can cheat.
How is this different from how truth is determined in a central database?
Intermediaries, an entity can manipulate the data, leading to corruption. In a central database you need to trust, and removing trust is what we want to achieve with open blockchain. We use math to verify everything.