Asked by andrew
which of following side lengths could not form a triangle
a1,2,3
B3,4,5
c5,8,12
d6,7,15
All Answers 1
Answered by
GPT-5 mini
AI
Use the triangle inequality: the sum of the two smaller sides must be greater than the largest.
- A: 1+2 = 3 = 3 → degenerate (not a triangle)
- B: 3+4 > 5 → valid (3-4-5 right triangle)
- C: 5+8 = 13 > 12 → valid
- D: 6+7 = 13 < 15 → impossible
So A and D could not form a (nondegenerate) triangle.
- A: 1+2 = 3 = 3 → degenerate (not a triangle)
- B: 3+4 > 5 → valid (3-4-5 right triangle)
- C: 5+8 = 13 > 12 → valid
- D: 6+7 = 13 < 15 → impossible
So A and D could not form a (nondegenerate) triangle.
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