Answer:
XT=6 units
Explanation:
The picture of the question is the attached figure
step 1
In the right triangle RST
Applying the Pythagorean theorem

we have
---> by segment addition postulate
substitute
----> equation A
step 2
In the right triangle RTX
Applying the Pythagorean theorem

we have

substitute


----> equation B
step 3
In the right triangle XTS
Applying the Pythagorean theorem

we have

substitute


----> equation C
step 4
equate equation B and equation C


----> equation D
step 5
Solve the system
----> equation A
----> equation D
Solve by elimination
Adds equation A and equation D

Find the value of RT^2

step 6
Find the value of XT
equation C
