The set of line segments that can be used to construct a triangle is a set in which the sum of the lengths of any two sides is greater than the length of the third side.
A) 3 cm + 3 cm = 6 cm > 2 cm. This set can be used to construct a triangle.
B) 4 cm + 2 cm = 6 cm < 8 cm. This set cannot be used to construct a triangle.
C) 2 cm + 6 cm = 8 cm > 1 cm. This set can be used to construct a triangle.
D) 4 cm + 3 cm = 7 cm < 9 cm. This set cannot be used to construct a triangle.
Therefore, the set of line segments that can be used to construct a triangle is A) 3 cm, 3 cm, and 2 cm.
Which set of line segments can be used to construct a triangle?
Responses
A 3 cm, 3 cm, and 2 cm3 cm, 3 cm, and 2 cm
B 4 cm, 2 cm, and 8 cm4 cm, 2 cm, and 8 cm
C 2 cm, 6 cm, and 1 cm2 cm, 6 cm, and 1 cm
D 4 cm, 3 cm, and 9 cm
1 answer