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 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 plus 4 is less than 9.
Yes, because the sum of any two sides is less than the third side.
No, because the sum of any two sides must be greater than the third side in order for it to form a triangle. In this case, 3+4 is less than 9, so the sides do not form a triangle.
Yes, because the sum of any two sides is less than the third side.
The correct response is:
No, because 3 + 4 is less than 9.
To determine whether the sides with lengths of 3 inches, 4 inches, and 9 inches form a triangle, we can use the Triangle Inequality Theorem. The 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.
In this case, we have sides with lengths of 3 inches, 4 inches, and 9 inches. To apply the Triangle Inequality Theorem, we need to check if the sum of the lengths of any two sides is greater than the length of the third side.
Let's check:
3 + 4 = 7
7 is less than 9
Since the sum of the lengths of the two shorter sides (3 and 4) is less than the length of the longest side (9), the sides do not form a triangle.
Therefore, the correct response is "No, because 3 + 4 is less than 9."