# 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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