To find the length of \( AB \) in triangle \( \Delta DBE \) with sides \( DB = 12 \) units, \( BE = 7 \) units, and \( DE = 14 \) units, we can first use the triangle inequality theorem.
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's analyze the sides of \( \Delta DBE \):
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\( DB + BE > DE \): \[ 12 + 7 = 19 > 14 \quad (\text{True}) \]
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\( DB + DE > BE \): \[ 12 + 14 = 26 > 7 \quad (\text{True}) \]
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\( BE + DE > DB \): \[ 7 + 14 = 21 > 12 \quad (\text{True}) \]
All three conditions hold true, confirming that \( \Delta DBE \) is a valid triangle.
To solve for \( AB \), we can note that in a scenario involving triangles like these, \( AB \) can be determined using the properties of triangles and potentially additional context about point \( A \) and its relationships to points \( D \), \( B \), and \( E \). However, without explicit context regarding point \( A \) being defined in relation to triangle \( DBE \), we might infer if \( A \) potentially reflects \( B \) across line \( DE \) or some similar geometric relation.
Given the choices provided and the calculated dimensions:
- The only relevant possibility within the safe provided measure is \( 28 \) units since \( AB \) might represent an extension or transformation in some geometric interpretation.
Thus, the length of \( AB \) would be:
28 units.