Final answer:
The measurement that cannot be the length of the third side of a triangle with sides 11 and 17 units must be greater than 28 or less than 6 units due to the Triangle Inequality Theorem.
Step-by-step explanation:
The question pertains to the possible lengths of the third side of a triangle when the lengths of two other sides are known. In mathematics, specifically in the study of triangles, 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.
Also, the difference of the lengths of any two sides of a triangle must be less than the length of the third side. Given two sides of a triangle being 11 units and 17 units, the third side must be greater than the difference of these two sides and smaller than their sum, thus greater than 6 (17 - 11) and less than 28 (17 + 11).
Therefore, any measurement greater than 28 units or less than 6 units cannot be the length of the third side of this triangle.