Question

In triangle FGH, is an angle bisector of and perpendicular to .

What is the length of ?



4

8

16

24

Answer 1

The calculated length of the segment FJ is 8

How to determine the length of the segment FJ

From the question, we have the following parameters that can be used in our computation:

GJ is an angle bisector of and perpendicular to . FGH

Using the above as a guide, we have the following:

FG = GH

So, we have

3x - 8 = 16

This gives

3x = 24

So, we have

x = 8

This also means that

FJ = x = 8

Hence, the length of the segment FJ is 8