Apply the Triangle Inequality Theorem to determine whether sides with lengths of 3 inches, 4 inches, and 9 inches form a triangle.(1 point)
Responses
Yes, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is less than the third side.
Yes, because 3+4 is less than 9.
Yes, because 3 plus 4 is less than 9.
Yes, the majority of the conditions are met.
Yes, the majority of the conditions are met.
No, because 3+4 is less than 9.
No, because 3+4 is less than 9.
No, because 3 + 4 is less than 9.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
To determine whether sides with lengths of 3 inches, 4 inches, and 9 inches form a triangle, we need to check if the sum of any two sides is greater than the third side.
Let's check:
3 + 4 = 7, which is less than 9.
Since 7 is not greater than 9, we can conclude that these side lengths do not form a triangle.
Therefore, the correct response is: No, because 3 + 4 is less than 9.