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

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

Segment (JG) bisect ∠FGH. Use the proportion from (FJ) to (FG) to find the missing-example-1
asked
User Ithelloworld
by
7.7k points

2 Answers

8 votes

Answer:

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
answered
User PicoCreator
by
8.6k points
10 votes
  • GF/FJ=GH/HJ
  • 6/4=9/HJ
  • 3/2=9/HJ
  • 3HJ=18
  • HJ=18/3
  • HJ=6
answered
User Ralzaul
by
7.9k points
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