Answer:
2.8 < x < 5.4
Explanation:
Given the triangle with two known sides, 4.1 and 1.3, the range of possible values of the third side, x, can be ascertained by considering the triangle inequality theorem.
According to the theorem, when you add any two of the angles in a triangle, it should give you a value greater than the third side.
If a, b, and c are 3 sides of a triangle, the theorem implies that:
a + b > c.
Therefore, a - b < c < a + b
We can use this logic to find the possibly values of x in the given triangle above.
Thus,
4.1 - 1.3 < x < 4.1 + 1.3
2.8 < x < 5.4
Range of possible sizes of x is 2.8 < x < 5.4