AoPSWiki
Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
Personal tools

Talk:Shoelace Theorem

From AoPSWiki

Proof

Perhaps we can use induction? But I do not know how to prove it nicely for a triangle. --1=2 12:50, 16 June 2008 (UTC)

I think that it has to do with the determinant of something; the form for a triangle is very similar to the determinant of a matrix. Volume 2 has a proof, if someone wants to copy it. ThinkFlow 20:32, 3 May 2009 (UTC)

Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us