Answer: the length of TR is 24.5.
Step-by-step explanation: 9x + 1 = 13x - 11
22 = 4x
x = 5.5
Presently that we know x, ready to discover the values of PR and QS:
PR = 9x + 1 = 9(5.5) + 1 = 49
QS = 13x - 11 = 13(5.5) - 11 = 56
Since TR is half of the PR bisector, ready to discover it by separating PR by 2:
TR = PR/2 = 49/2 = 24.5