ANSWER
a. 12 units
EXPLANATION
According to the altitude theorem, RT which is the altitude, is equal to the geometric mean of TQ and TS, the segments created by the foot of the altitude on the hypotenuse.
This implies that:
[tex]x = \sqrt{TQ \times TS} [/tex]
From the diagram, TQ=16 and TS=9.
We substitute these values and solve for x.
[tex]x = \sqrt{9 \times 16} [/tex]
[tex]x = \sqrt{144} [/tex]
[tex]x = 12[/tex]
Therefore x is 12 units.
The correct answer is A
