Question

What is the range of AB?

Answer 1

a, b, c - sides of a triangle

Therefore:

a + b > c

a + c > b

b + c > a

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We have a = AB, b = 140mi, c = 100mi.

(1)     a + b > c

AB + 140 > 100    subtract 140 from both sides

AB > -40 → AB > 0

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(2)    a + c  > b

AB + 100 > 140      subtract 100 from both sides

AB > 40

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(3)    b + c > a → a < b + c

AB < 140 + 100

AB < 240

Answer: 40 < AB < 240