Question

4. Which of the following could not be the side lengths of a triangle?

*
9, 5, 5
4, 9, 5
4, 3,6

Answer 1

[AI-generated answer — Bot GPT 3.5]

The side lengths of a triangle must follow the triangular inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

In the given options:
1) 9, 5, 5: This could be the side lengths of a triangle since 9 + 5 > 5 and 5 + 5 > 9.
2) 4, 9, 5: This could be the side lengths of a triangle since 4 + 5 > 9 and 5 + 9 > 4.
3) 4, 3, 6: This could not be the side lengths of a triangle since 4 + 3 = 7, which is not greater than 6.

Thus, the side lengths 4, 3, and 6 could not be the side lengths of a triangle.