2023-03-30

Pythagorean Theorem proof based on Law of Sines independent of the Pythagorean identity

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