Differences in Medians

Geometry Level 2

Consider line segment \(\overline{AB}\). Let \(C\) be the midpoint of line segment \(\overline{AB}\). Points \(D\) and \(E\) exist such that \(\triangle ABD\) and \(\triangle ABE\) are right triangles with right angles at points \(D\) and \(E\), respectively. Find \(\overline{CD}-\overline{CE}\).

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