Stewart's Theorem
Pronunciation: /ˈstʊ.əɹtz ˈθɪər.əm/ Explain
Stewart's Theorem relates the length of the sides of a triangle to a cevian of the triangle:
b2m + c2n = a(d2 + mn) where
a,
b, and
c are lengths of sides of the triangle and
m and
n are the lengths of the segments into which
a is divided by the cevian.
References
- McAdams, David E.. All Math Words Dictionary, stewart's theorem. 2nd Classroom edition 20150108-4799968. pg 171. Life is a Story Problem LLC. January 8, 2015. Buy the book
Cite this article as:
McAdams, David E. Stewart's Theorem. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/s/stewartstheorem.html.
Revision History
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
5/5/2011: Initial version. (
McAdams, David E.)