In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG (which is a repeating decimal) and FH (which is a repeating decimal) are perpendicular to sides of the parallelogram as shown, and EG = 40. Determine FH.
If you visualize moving EG left so that G coincides with D,
you have a right triangle, such that:
• AE is one leg,
• EG (aka ED) is the other leg, and
• AD is the hypotenuse.
It is given that AD = 18 and EG = 40. This cannot be true.
One leg of a right triangle cannot be larger than the hypotenuse.
Also, EG would not be considered a segment. There's something wrong in the problem.