H is the midpoint of GI (given)
GH = 4x (given)
HI = 2x + 6 (given)
GH = HI (H is the midpoint)
4x = 2x + 6 (proven)
x = 3 (given)
4(3) = 2(3) + 6 (x = 3)
12 = 6 + 6
12 = 12
Since H is the midpoint of the line GI
that means it divides the line into two equal sides
GH = HI
4x = 2x + 6
4x - 2x = 6
2x = 6
x = 3
Hence proved.
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