Which set of line segments can be used to construct a triangle?

Question

Which set of line segments can be used to construct a triangle?

Responses

A 8 cm, 3 cm, and 3 cm8 cm, 3 cm, and 3 cm

B 6 cm, 5 cm, and 2 cm6 cm, 5 cm, and 2 cm

C 6 cm, 2 cm, and 9 cm6 cm, 2 cm, and 9 cm

D 8 cm, 2 cm, and

Answer 1

B

5-2 < 6 < 5+2

Answer 2

Correct! According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side. In option B, 6 + 5 = 11, which is greater than 2. Therefore, a triangle can be constructed with sides of 6 cm, 5 cm, and 2 cm.