What proof of the Pythagorean theorem might appeal to a physics teacher? A proof that involved the notion of mass would surely be of interest. While various proofs of the Pythagorean theorem employ the circumcenter and incenter of a right-angled triangle, we are not aware of any proof that uses the triangle’s center of mass. This note details one such proof. Though far from the most elegant approach, we believe it to be novel.

1.
See, for example,
A.
Bogomolny
, “
Pythagorean theorem from the intersecting chords theorema
” (
2015
), accessed June 7, 2016, http://www.cut-the-knot.org/pythagoras/proof79.shtml, and
J.
Oliver
, “
Pythagoras’ theorem: An alternative to note 79.57
,”
Math. Gaz.
81
(
1
),
117
118
(
March
1997
).
2.
T. M.
Apostol
and
M. A.
Mnatsakanian
, “
Finding centroids the easy way
,”
Math Horizons
8
,
7
12
(
Sept.
2000
).
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