To determine the length of \( AB \) given that \( C \) is the midpoint of segment \( AB \) and \( DE \), we need more information regarding the length of \( DE \).
Step 1: Understanding the Midpoint
The midpoint \( C \) is the point that divides a segment into two equal parts. Thus, if \( C \) is the midpoint of \( AB \), then:
\[ AC = CB = \frac{1}{2} AB \]
Step 2: Relationship between Midpoints
If \( C \) is also the midpoint of another segment \( DE \), it means that:
\[ DC = CE = \frac{1}{2} DE \]
Step 3: Lengths
If we knew the length of segment \( DE \), we could use it to find the length of segment \( AB \).
However, since the lengths of \( AB \) or \( DE \) are not provided in the question, we cannot directly calculate \( AB \). The problem as posed seems to expect a connection or known lengths to derive the answer.
Conclusion
If you have any additional information regarding the length of \( DE \) or other explicit measures that relate \( AB \) and \( DE \), please provide those details to solve for the length of \( AB \). If no other data is provided, determining the specific measurement of \( AB \) solely from the information given is not feasible.