# Distance between the Points

Geometry Level 3

Consider a semicircle of radius 1 on the diameter $$AB$$ where the center is $$O$$.

A point $$C$$ divides $$AO$$ in the ratio $$2:1$$.

A line that is perpendicular to $$AO$$ passing through $$C$$ cuts the semicircle at $$E$$.

Another line $$OL$$ passing through $$O$$ and is perpendicular to $$AE$$ intersects $$CE$$ at $$H$$.

Find the value of $$EH$$.

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