help

A triangle has to have the sum of the two smaller legs to be greater than the largest leg.

2x3x4

3x4x5

3x4x6

4x5x6

There are 4 triangles.

EDIT: Wrong Answer...CPhill has the right answer.

It could simply be C(5, 3) as we are choosing 3 rods from the 5 total, therefore resulting in 10.

But, 6 of these will be degenerates (i.e. the sum of the 2 smaller legs is less than the bigger leg).

So, there are 4. Can someone verify this? :D

EDIT: Wrong Answer

2, 3, 4 , 5 , 6

I get these   ???

2 , 3 , 4

2,  4,  5

2,  5,  6

3,  4,  5

3,  4,  6

3,  5,  6

4,  5,  6

Yeah.. I just realized I was missing some triangles!