Respuesta :

Answer:

[tex]XZ=13\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure XYZ

Applying the Pythagorean Theorem

[tex]XZ^2=XY^2+YZ^2[/tex]

substitute the given values

[tex]XZ^2=12^2+5^2[/tex]

[tex]XZ^2=144+25[/tex]

[tex]XZ^2=169[/tex]

square root both sides

[tex]XZ=13\ units[/tex]