The diagonals of parallelogram qrst, tr and , qs intersect at point u. if rs = 10, st = 12, and ru = 9.5, find tu.

The diagonals of parallelogram bisect each other. U is the midpoint of diagonal TR.
TU = RU = 9.5
Other information are just to confuse you. 

Since the diagonals bisect each other in the parallelogram QRST, TU would be 9.5 since it should have the same length as RU. To check, you can use the triangle method or line method, depending on how you would prove this equation.