The measures 7, 7, and 9 can form a triangle based on the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side.
To determine if the measures 7, 7, and 9 can form a triangle, we can apply the Triangle Inequality Theorem. According to this theorem, 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, let's consider the sides:
1. 7 + 7 = 14
2. 9
Since 14 is greater than 9, the sum of the lengths of the two shorter sides is greater than the length of the longest side. Therefore, the measures 7, 7, and 9 can form a triangle.
So, the correct statement is: "These lengths can form a triangle." The Triangle Inequality Theorem ensures that the given measures satisfy the necessary condition for forming a triangle.