Answer :
Based on the segment addition postulate, the length of GH is: 4 units.
What is the Segment Addition Postulate?
The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.
- FG = 2 units
- FI = 7 units
- HI = 1 unit
- GH = ?
FI = FG + HI + GH [segment addition postulate]
7 = 2 + 1 + GH
7 = 3 + GH
7 - 3 = GH
4 = GH
GH = 4 units.
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