Answer:
XT=6 units
Step-by-step 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