Question

Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.

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

AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81

Answer 1

B. 27 < AB < 81

Explanation:

Nice

Answer 2

27<AB<81

Explanation:

The sum of two sides of a triangle have to be than the length of the third side. 27+54 is 81, so the AB has to be less than 81. Now, to find the minimum, I can say 27+x has to be greater than 54, so x has to be greater than 27. Therefore, the answer has to be between 27 and 81, so the 2nd one is correct.