PLEASE HELP ME This figure shows △LMN. NZ¯¯¯¯¯¯ is the angle bisector of ∠LNM.

What is LZ?

Enter your answer, as a fraction, in the box.

units

$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
A right triangle with vertices labeled as L, M, and N. Side L N is base. Side L M contains a midpoint Z. A line segment drawn through vertex N bisects angle L N M into two parts labeled as L N Z and Z N M. Angles L N Z and Z N M are marked with single arc. Side M L is labeled 5. Side M N is labeled 3. Base L N is labeled 4.