how many possible triangles can i draw with a 5 unit longest side (or sides)?

Question

with integral sides, like without fraction or radicals

Answer 1

The above answer is true if you have to have a right angled triangle but there are lots of other triangles that you can have if not.
e.g. imagine an isosceles triangle with a base of 5units and two sides of 4 or 3 units.
It basically comes down to the side being long enough to form a triangle i.e. the other two sides add to more that 5 with out either being more than 5.

This comes down to the following

44
43
42
33

so 4 triangles.

Edit- i note that you are allowed other sides with 5 unit length so that increases the allowed triangles to also include
51, 52, 53, 54, 55

So that is 9 triangles

Answer 2

If you are restricting yourself to whole units, only one (with short sides of 3 and 4). More if you count the mirror images/rotations of that one.

Answer 3

an infinite number, unless there's some other restriction