- #1
siliang
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Homework Statement
Prove the Triangle Inequality Theorum using the coordinate system.
Homework Equations
The corners of the triangles will be at (x1,y1), (x2, y2), (x3,y3)
The Attempt at a Solution
The proof that I know is proving that |x+y|<=|x|+|y|:
-|x|<x<|x|, and -|y|<y<|y|
then -|x|-|y|<x+y<|x|+|y|
absolute value proterty yields |x+y|<=|x|+|y|
I have absolutely no idea how to incorporate the coordinate system into my proof. I would assume the distance formula has something to do with it. Can someone please help? > . <