GAUSS8 2012 Problem 25

In the rectangle WXYZ, the parallelogram PQRS is formed as shown. The segment PT is perpendicular to SR. The length of ST is

Answer Choices
A. \frac{13}{12}
B. \frac{13}{5}
C. \frac{12}{13}
D. \frac{16}{13}
E. 1

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