Prove a + b > c for triangle to exist

[mikexz]

I am trying to make a proof for a + b > c for a triangle to exist but I donno where to start. help?

 

[skeeter]

this link might help ...

http://www.math.washington.edu/~king/coursedir/m444a03/notes/10-03-Triangle-Inequality.html

 

[Deleted member 4993]

I am trying to make a proof for a + b > c for a triangle to exist but I donno where to start. help?

This is a standard Euclidean Theorem (proposition 20) - any good text book would have the proof. Look into your textbook.

This theorem was ridiculed by some greeks (epicureans) to be "self-evident" - even to an @$$ (donkey). If a donkey is located at one vertex of a triangle - and hay at the other vertex - in the absence of a barrier, the donkey will not go through the third vertex to get to the hay.

But being self-evident is not scientific proof (and the number of axioms should be kept to a minimum).