Question

Segment (JG) bisect ∠FGH. Use the proportion from (FJ) to (FG) to find the missing length of (HJ)

Answer 1

HJ = 6

Explanation:

The sides are in the proportion :

• 
  `(FJ)/(FG) = (HJ)/(HG)`

Therefore,

• 
  `(4)/(6) = (2)/(3) = (HJ)/(9)`
• HJ = 18/3
• HJ = 6

Answer 2

• GF/FJ=GH/HJ
• 6/4=9/HJ
• 3/2=9/HJ
• 3HJ=18
• HJ=18/3
• HJ=6