The sides of the triangle in order from largest to smallest are AC, AB, BC.
In any triangle, the largest side is opposite the largest angle. In the given triangle, the largest angle is 124 degrees, which is opposite side AC. Therefore, AC is the longest side.
The second longest side is opposite the second largest angle. In the given triangle, the second largest angle is 38.6 degrees, which is opposite side AB. Therefore, AB is the second longest side.
The smallest side is opposite the smallest angle. In the given triangle, the smallest angle is 17.4 degrees, which is opposite side BC. Therefore, BC is the smallest side.
Therefore, the sides of the triangle in order from largest to smallest are AC, AB, BC.