the triangle inequality states that the sum of any two sides of a triangle is larger than the third. Thanks for the help. But what if I wanted to prove is that for ANY given triangle or for any given 3 sides of a triangle, the triangle inequality applies?
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...