# 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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