The short side of the parallelogram is 14 inches.
In a 30-60-90 triangle, we denote the side lengths as t, 2t, and t√3. The longest side, the hypotenuse, would be 2t; the shortest side, the side opposite the 30° angle, would be t; and the side opposite the 60° angle would be t√3.
Since the length of the rectangle formed is 11, this means that the remaining piece of that side of the parallelogram, the side of the triangle opposite the 30° angle, is 7.
t = 7
This means that the short side of the parallelogram, which is the hypotenuse of the triangle, would be 2t = 2(7) = 14.
