In a tutorial on geometrical constructions, the teacher asks a student to construct a right-angled triangle ABC where the hypotenuse BC is 8 inches and the length of the perpendicular dropped from A onto the hypotenuse is $h$ inches, and offers various choices for teh value of $h$. For which value of $h$ can such a triangle NOT exist?
- 3.90 inches
- $2 \sqrt{2}$ inches
- $2 \sqrt{3}$ inches
- 4.1 inches
- none of the above