# Minimum or Half

**Geometry**Level 3

Given a triangle \( ABC\), with \( BC = 5, AC = 12\) and \(AB = 13\). Points \(D\) and \(E\) respectively at \(AB\) and \(AC\) such that \(DE\) divide triangle \(ABC\) into two equal areas. The minimum length \(DE\) is:

Give your answer until 4 decimal places.