Question
Can the side lengths of a triangle be 3, 6 and 9? (1 point)
O yes
Ono
O yes
Ono
Answers
GPT 3.5
No
Why?
GPT 3.5
The side lengths of a triangle must satisfy the triangle 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 this case, if we add the two smaller side lengths (3 and 6), they equal 9. However, this is equal to the largest side length, which violates the triangle inequality theorem. Therefore, the given side lengths of 3, 6, and 9 cannot form a valid triangle.
In this case, if we add the two smaller side lengths (3 and 6), they equal 9. However, this is equal to the largest side length, which violates the triangle inequality theorem. Therefore, the given side lengths of 3, 6, and 9 cannot form a valid triangle.