Brendan is accused of armed robbery and given a trial the jury finds him innocent. the next day the prosecute decides that they verdict was not correct and he orders Brendan arrested and tried for the crime again.

what amendment does this violate?

Did you read through the list I posted for you earlier this afternoon? Which one is this one?

im looking right now

This situation raises concerns related to the constitutional protection against double jeopardy, which is guaranteed by the Fifth Amendment of the United States Constitution. The Fifth Amendment states that no person shall "be subject for the same offense to be twice put in jeopardy of life or limb." This principle is commonly referred to as the Double Jeopardy Clause.

The Double Jeopardy Clause prohibits the government from retrying an individual for the same offense after they have been acquitted (found not guilty) by a jury. So, if Brendan has been found innocent by a jury in a trial, the prosecutor cannot order his re-arrest and initiate another trial for the same crime.

It is important to note that there are exceptions to the Double Jeopardy Clause, such as when a mistrial is declared due to a hung jury or prosecutorial misconduct. However, in the scenario you described, where Brendan is found innocent by the jury and the prosecutor unilaterally orders his arrest and retrial, it would likely be a violation of the protection against double jeopardy provided by the Fifth Amendment.