Question is from Triangles in PrepSwift quant.
If a < x < b and 3, 4, x are the sides. Now, we have not been told what exactly is a and b, so they can be any integer. Question does not specify what they are, just that b is greater than x and a is smaller than x.
Question also says that b is small as possible and a is as large as possible. If we consider that, then x can even be 1.1 (coz triangle can be complete with x = 1.1), so a can be 0.9 and b can be 1.1 (it can be limit x tends to 1 as well, but for the sake of sanity, lets say its 1.1).
In this case, b-a = 0.2.
Yet solution equates a = 4-3 = 1 and b = 4+3 = 7. From where do these values come from? Who said anything about a being dependent on the side of the triangle. And even then, a = 1 and b = 7 will only be possible if a is as small as possible and b is as large as possible. The question says its the opposite. a should be as large as possible and b should be as small as possible.
Can someone please explain the answer to me? I feel like I am missing something.
