The numerical length of GH is 9.
Here, we are given that a point H lies on the line segment GI.
From this information, we can infer that GH + HI = GI
we have,
GH = x + 6
HI = x + 5
GI= 3x + 8
Thus, we get the following equation-
(x +6) + (x + 5) = (3x + 8)
x +6 + x + 5 = 3x + 8
2x + 11 = 3x + 8
11 - 8 = 3x - 2x
3 = x
x = 3
Now, GH = x + 6
= 3 + 6
= 9
Hence, the length of GH comes out to be 9.
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