Since it represent a Right angled triangle,
Therefore side AB = \(\sqrt{(100)^2 + (8)^2} = \sqrt{164}\) = approximately greater than 12 and less than 13 = approximately 12.5

The total distance from A to C = 8 + 10 =18

Therefore the distance saved = 18 - 12.5 = 5.5

So the close option is E
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