GAUSS8 2010 Problem 20

In \triangle PQR, a line segment is drawn from P to point S on side QR. If \triangle PQS and \triangle PRS have the same area, which of the following statements must be true?

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Answer Choices
A. PQ=PR
B. PS=PQ
C. QR=PS
D. QS=SR
E. PQ=QR