Question

Can the sides of a triangle have lengths 2, 5, and 7?

Answer 1

[AI-generated answer — Bot GPT 3.5]

No, the given lengths of 2, 5, and 7 do not satisfy the triangle inequality theorem. According to the theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

In this case, 2 + 5 = 7, which is not greater than 7. Therefore, a triangle with sides of length 2, 5, and 7 cannot exist.