Answer:
[tex]XT=3\sqrt{2}\ units[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Applying the Pythagoras Theorem
[tex]XT^{2}= XY^{2}+YT^{2}[/tex]
In this problem we have
[tex]XY=RS/2=6/2=3\ units[/tex]
[tex]YT=XY=3\ units[/tex]
substitute
[tex]XT^{2}= 3^{2}+3^{2}[/tex]
[tex]XT^{2}= 18[/tex]
[tex]XT=\sqrt{18}\ units[/tex]
Simplify
[tex]XT=3\sqrt{2}\ units[/tex]
