# Hexagon's Segment (2)

Geometry Level 4

$$ABCDEF$$ is a regular hexagon, with $$AB = 1$$. Point $$H$$ lies on $$DE$$ such that $$DH = HE$$. If the length of $$BH$$ is in the form of $$\dfrac{\sqrt{a}}{b}$$, where $$a$$ and $$b$$ are coprime positive integer, with $$a$$ is square free, find $$a+b$$.

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