- #1
Storm Butler
- 78
- 0
Homework Statement
Prove the triangle inequality theorem [tex]\leftX-Y\right\rfloor\lfloor[/tex][tex]\leq\leftZ-Y\right\rfloor\lfloor[/tex]+[tex]\leftY-X\right\rfloor\lfloor[/tex]. (my computer just shows the latex as a bunch of script so i don't know if that came out right.
Homework Equations
The Attempt at a Solution
So this isn't actually for H.W. i was just trying to work through the examples in spivaks book. That being said i don't really know if there is an appropriate way to approach this or anything but i thought i might be able to get it by looking at the Law of cosines and trying to se if i could get it to look anything like it and go on from there. However, it isn't obvious to me if this is a good path to take or not. So i would just like someone to kind of give me a hint and tell me if what I am attempting is right or a hint towards another way that might be better. (please don't give the answer though as i would like to work out as much of it as i can myself).
-Thanks