Question

Based on the diagram, which expresses all possible

lengths of segment AB?

A. AB = 25
B. 27 < AB <81
C. AB = 85
D. AB < 27 or AB > 81

Answer 1

B

Explanation:

Given 2 sides of a triangle then the third side is in the range

difference of 2 sides < AB < sum of 2 sides , that is

54 - 27 < AB < 54 + 27

27 < AB < 81 → B