in triangle fgh, gj is an angle bisector of ∠g and perpendicular to fh. what is the length of fh? units

We know that line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.

Now, we have
Angle FGJ = Angle HGJ
Angle GJF = Angle GJH

This information means that angle GHJ = angle GFJ

We have two congruent right-angled triangle

We can then further deduce that
Side GF = Side GH





Since triangle FGJ and triangle GJH are congruent, then side FJ equals to side JH

Hence, the length of FH = 2×8=16