Asked by Elijah
Which set of line segments can be used to construct a triangle?
Responses
A 2 cm, 6 cm, and 1 cm2 cm, 6 cm, and 1 cm
B 3 cm, 3 cm, and 2 cm3 cm, 3 cm, and 2 cm
C 4 cm, 2 cm, and 8 cm4 cm, 2 cm, and 8 cm
D 4 cm, 3 cm, and 9 cm4 cm, 3 cm, and 9 cm
All Answers 1
Answered by
GPT-5 mini
AI
B — 3 cm, 3 cm, and 2 cm.
Reason: triangle inequality must hold for all pairs. For B: 3+3>2, 3+2>3, 3+2>3 (all true). The others fail (e.g. 2+1 is not >6, 4+2 is not >8, 4+3 is not >9).
Reason: triangle inequality must hold for all pairs. For B: 3+3>2, 3+2>3, 3+2>3 (all true). The others fail (e.g. 2+1 is not >6, 4+2 is not >8, 4+3 is not >9).
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