2023.3.30: news.math/
Pythagorean Theorem proof based on Law of Sines
independent of the Pythagorean identity:
the American Mathematical Society:
https://meetings.ams.org/math/spring2023se/meetingapp.cgi/Paper/23621
. for the 2000 years since trigonometry was discovered
it's always been assumed that any alleged proof of
Pythagoras’s Theorem based on trigonometry
must be circular
-- that all the fundamental formulae of trigonometry
are themselves based upon
the truth of the Pythagorean Theorem.
But Ne’Kiya D Jackson and Calcea Rujean Johnson
from St. Mary's Academy High School
present a new proof of Pythagoras’s Theorem