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.

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