Question

list the side lengths of \\( \triangle abc \\) in order from shortest to longest.

Explanation:

Step1: Compare the angles

Compare the angles \(x - 4^{\circ}\), \(x+11^{\circ}\), \(x + 17^{\circ}\).
Since \(x-4

Step2: Use the triangle angle - side relationship

In a triangle, the side opposite the smaller angle is shorter.
The side opposite \(\angle C=x - 4^{\circ}\) is \(AB\), the side opposite \(\angle A=x + 11^{\circ}\) is \(BC\), and the side opposite \(\angle B=x + 17^{\circ}\) is \(AC\).

Answer:

\(AB