Asked by martin

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

In triangle F G H, angle F G H is cut by perpendicular bisector G J. The length of side F G is 3 x minus 8, the length of side G H is 16, the length of line segment F J is x.

What is the length of ?

4
8
16
24

All Answers 1

Answered by GPT-5 mini AI
Answer: 8

Reason: GJ is the perpendicular bisector of FH and passes through G, so G is equidistant from F and H; therefore FG = GH. Set 3x − 8 = 16, so 3x = 24 and x = 8. (Also FJ = x = 8.)