After solving for the angles and corresponding sides in the triangle, the order from least to greatest is AC, BC, AB, in accordance with the angles Angle C, Angle B, and Angle A, respectively. Here option D is correct.
First, find the values of the angles using the given equations:
Angle A = 11x - 8
Angle B = 5x
Angle C = 2x + 10
The sum of the angles in a triangle is 180 degrees, so:
(11x - 8) + 5x + (2x + 10) = 180
Combine like terms:
18x + 2 = 180
Subtract 2 from both sides:
18x = 178
Divide by 18:
x = 9.89
Now, plug in the value of x into the equations to find the angles:
Angle A = 11(9.89) - 8 ≈ 100.79
Angle B = 5(9.89) ≈ 49.45
Angle C = 2(9.89) + 10 ≈ 29.78
Now, you can order the angles from least to greatest:
Angle C, Angle B, Angle A
The side opposite to Angle C is AC, the side opposite to Angle B is BC, and the side opposite to Angle A is AB. Therefore, the order of the sides from least to greatest is: AC, BC, AB. Here option D is correct.