Answer
Here is the probable location.
Work Step by Step
I carefully drew the shapes because small changes in the states' contours could change the answer. Then I connected the midpoints of each length.
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 7 - Section 7.2 - Concurrence of Lines - Exercises - Page 336: 41
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