CAYLEY 2013 Problem 17

In the diagram, PQ=19,QR=18, and PR=17. Point S is on PQ, point T is on PR, and point U is on ST so that QS=SU and UT=TR. The perimeter of \triangle{PST} is equal to

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Answer Choices
A. 36
B. 35
C. 37
D. 34
E. 38