What is the value of X in the triangle below? if the answer is not an integer, leave it in simplest radical form

Answer:
[tex]x=\frac{13\sqrt{2} }{2}[/tex]
Step-by-step explanation:
We can use the sine ratio to find the value of [tex]x[/tex].
Recall the mnemonics SOH; which means sine is Opposite over Hypotenuse.
[tex]\sin(45\degree)=\frac{x}{13}[/tex]
This implies that;
[tex]x=13\sin(45\degree)[/tex]
[tex]x=\frac{13\sqrt{2} }{2}[/tex]