Consider the diagram.
Which line segment has the same measure as ST?

Answer:
[tex]SR[/tex]
Step-by-step explanation:
In this problem we have
[tex]RX=XT[/tex] -----> given problem
[tex]XS[/tex] ---> is a common side both triangles
In the right triangle RSX
Applying the Pythagoras Theorem
[tex]SR^{2}=RX^{2}+XS^{2}[/tex] ------> equation A
In the right triangle XST
Applying the Pythagoras Theorem
[tex]ST^{2}=XT^{2}+XS^{2}[/tex] ------> equation B
remember that -----> [tex]RX=XT[/tex]
Substitute
[tex]ST^{2}=RX^{2}+XS^{2}[/tex] ------> equation C
Compare equation A and equation C
[tex]SR=ST[/tex]