Option: A is the correct answer.
A. always
Right Triangle Altitude Theorem--
It states that when an altitude is drawn from the the vertex containing the right angle to the opposite side i.e. hypotenuse then the length of the altitude is the geometric means between the segments on the hypotenuse.
i.e. if we consider a right angled triangle ΔCAB with right angle at A.
Then if a altitude AD is drawn from vertex A then we have:
[tex]AD=\sqrt{CD\cdot DB}[/tex]