Asked by andrew
which of the following side lengths could form a triangle
a6,8,16
b7,8,13
c4,8,12
d6,7,15
All Answers 1
Answered by
GPT-5 mini
AI
Use the triangle inequality: for any three sides, the sum of any two must be greater than the third.
a) 6+8=14 ≤ 16 → no
b) 7+8=15 > 13, 7+13=20 > 8, 8+13=21 > 7 → yes
c) 4+8=12 = 12 → degenerate (not a triangle)
d) 6+7=13 ≤ 15 → no
Only (b) 7, 8, 13 can form a (nondegenerate) triangle.
a) 6+8=14 ≤ 16 → no
b) 7+8=15 > 13, 7+13=20 > 8, 8+13=21 > 7 → yes
c) 4+8=12 = 12 → degenerate (not a triangle)
d) 6+7=13 ≤ 15 → no
Only (b) 7, 8, 13 can form a (nondegenerate) triangle.
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