Centroid Mystery Cache
Geometry: The cache has been plowed under by some dam maintenance work.
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Difficulty:
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Terrain:
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Size: 
(regular)
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A nice map of the Middlesex Fells can be purchased at the Book Ends Bookstore in Winchester Center by the rotary, but is not a necessary requirement. The map can be quite useful for doing other Middlesex Fells caches in the area. To find this cache you have to solve a fairly easy geometry problem based on the definition of the centroid of a triangle. To get to the cache there are several parking lots near the listed coordinates along South Border Rd.
Go east along any trail until you come to the Skyline Trail and then follow the Skyline Trail southward ( white blazes ) until it merges with the Reservoir Trail ( orange blazes ) which will take you to the cache.
The 3 medians of a triangle are the line segments that connect each vertex to the midpoint of the opposite side. When drawn carefully the medians will intersect at a point called the centroid of the triangle. For points ABC of this triangle , use the listed coordinates above for point A, use the coordinates of the Not in the Subway cache ( N 42 26.777 , W 71 06.416 ) for point B and use for point C ( N 42 26.054 , W 71 06.302 ) which are the coordinates of the Wright’s Tower cache on Pine Hill. It is not necessary to convert to UTM coordinates, since the 3 given points are fairly close together, but you may if you wish. You can also solve it graphically and get close enough.
Additional Hints
(Decrypt)
Gur pnpur vf va n cerggl boivbhf uvqvat fcbg jura lbh trg arne gb vg. Zber uvagf ner ninvynoyr ivn rznvy.
Treasures
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