# Inscribed Hexagon

Geometry Level 5

A hexagon inscribed in a circle has three consecutive sides each of length $$3$$ and another $$3$$ consecutive sides each of length 5. The chord that divides the hexagon into two isosceles trapezoids has length equal to $$\dfrac{m}{n}$$. Where $$m$$ and $$n$$ are relatively prime positive integers. Find $$m+n$$.

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