Parallelogram impossible problem from prep swift

[cringes_squeak.0q]

Hi, I am stuck with this question. I don’t quite understand why h = [(root 3) /2] . (x)

Since we know the triangle within is 30-60-90, the height is (root 3) . (x). Therefore, as the length is x, if we equate the two with kx^2, wouldn’t k = root 3? I can’t quite figure out the divide by 2 bit.

Thank you in advance.

[Leaderboard]

If the base is t, the height indeed is \sqrt{3}t. However, we want the ratio of the height and the hypotenuse in this case.