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egoroff_w [7]
4 years ago
9

Based on the diagram, which expresses all possible lengths of segment AB?

Mathematics
2 answers:
Amiraneli [1.4K]4 years ago
8 0
B It should be the second answer choice
lukranit [14]4 years ago
4 0

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)

So

1) AC+BC > AB

27+54 > AB\\ 81 > AB\\ AB < 81

2) 27+AB > 54

AB > 54-27\\ AB > 27

3) 54+AB > 27

AB > 27-54\\ AB > -27

therefore

the answer is

27 < AB < 81


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