# Thread: violation of triangular inequality

1. ## violation of triangular inequality

Hi i need 3 points that violate the triangular inequality, tryed many just can't seem to find it.

the inequality is d(p,r) less or equal to d(p,q)+d(q,r) so to violate it i need d(p,r) to be greater than the sum of d(p,q)+d(q,r)
where d is the distance...

Thanks !

2. Ok Nikie; triangle ABC has sides AB=3, AC=4 and BC=8 : any comments?

3. Originally Posted by Wilmer
Ok Nikie; triangle ABC has sides AB=3, AC=4 and BC=8 : any comments?
Yes, i need three points so when i plug them into the distance formula i can get those distances for each side

4. Hello nikie1o2
Originally Posted by nikie1o2
Hi i need 3 points that violate the triangular inequality, tryed many just can't seem to find it.

the inequality is d(p,r) less or equal to d(p,q)+d(q,r) so to violate it i need d(p,r) to be greater than the sum of d(p,q)+d(q,r)
where d is the distance...

Thanks !
I'm not sure what you mean here. The inequality holds good in all Euclidean spaces, so how are you hoping to find points that violate it?