The segments that can be used to construct a triangle are the ones that satisfy the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, option B with line segments 7 cm, 4 cm, and 1 cm can be used to construct a triangle because 7 + 4 > 1, 7 + 1 > 4, and 4 + 1 > 7. Therefore, option B is the correct answer.
Which set of line segments can be used to construct a triangle?
Responses
A 6 cm, 3 cm, and 2 cm6 cm, 3 cm, and 2 cm
B 7 cm, 4 cm, and 1 cm7 cm, 4 cm, and 1 cm
C 8 cm, 3 cm, and 6 cm8 cm, 3 cm, and 6 cm
D 9 cm, 2 cm, and 6 cm9 cm, 2 cm, and 6 cm
1 answer