Math please help me PLEASE I BEG OF YOU?

Question

a box contains 1 2 inch 1 3 in 1 4 inch and 1 5 inch rod . what is the maximum number of different triangles that can be using these rod sizes

Answer 1

The Triangle Inequality Theorem states that two sides of a triangle added together must be longer than the third side. Using that as our basis we see that the possible triangles we can make are:

2,3,4

3,4,5

2+3,4,5

2+4,3,5

(2+3 would mean using the two rods as one straight line and the same for 2+4)

The question is quite vague as it does not tell you if you can use the box' edges as sides. If you can it is an unsolvable question since you know nothing about the box' side lengths. I assumed you couldn't in my answer.

Answer 2

Just write all possible combinations of 3 of those 4, then cross any out where the smaller two pieces do NOT add up to more than the longest one.