Answer:
The answer is 12 units.
Step-by-step explanation:
Looking at the figure we see that
[tex](1).9^2+x^2=SR^2[/tex]
[tex](2).16^2+x^2=RQ^2[/tex] and
[tex](3).SR^2+RQ^2=(9+16)^2[/tex]
Now from equations (1) and (2) we have values for [tex]SR^2[/tex] and [tex]RQ^2,[/tex] so we put those into the equation (3) and get:
[tex]9^2+x^2+16^2+x^2=(9+16)^2[/tex]
[tex]\rightarrow 337+2x^2=625[/tex]
[tex]\boxed{\therefore x= 12.}[/tex]
Therefore the answer is 12 units.
