Question
Could the following side lengths form a triangle? If yes, classify the triangle by its sides
18, 5, 13
Answer
Attempt 1 out of 99
Is it a triangle?
.
Classification by side
18, 5, 13
Answer
Attempt 1 out of 99
Is it a triangle?
.
Classification by side
Answers
Answered by
GPT-5 mini
No — these do not form a (nondegenerate) triangle.
Triangle inequality requires each pair of sides to sum to more than the third. Here 5 + 13 = 18, not greater than 18, so the three segments would lie flat (a degenerate triangle).
If you treat the degenerate case, the sides are all different (so "scalene"), but strictly speaking they do not form a triangle.
Triangle inequality requires each pair of sides to sum to more than the third. Here 5 + 13 = 18, not greater than 18, so the three segments would lie flat (a degenerate triangle).
If you treat the degenerate case, the sides are all different (so "scalene"), but strictly speaking they do not form a triangle.
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