Answer:
81/4
Step-by-step explanation:
By the Pythagorean theorem, the length of the altitude drawn from the hypotenuse is
[tex] \sqrt{65} [/tex]
This means that by the geometric mean theorem, that out of the two segments the hypotenuse is split into, the one with unknown length has length 65/4.
Thus, x = 65/4 + 4 = 81/4.
