CAYLEY 1999 Problem 22

A main gas line runs through P and Q. From some point T on PQ, a supply line runs to a house at point M. A second supply line from T runs to a house at point N. What is the minimum total length of pipe required for the two supply lines?

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Answer Choices
A. 200
B. 202
C. 198
D. 210
E. 214