# Segment in Semicircle

Geometry Level 1

The picture above is a semicircle with diameter $$\overline{AC},$$ and $$\overline{AC}$$ is perpendicular to $$\overline{BD}.$$ It is known that $$AB=4\text{ cm}$$ and $$BC=1\text{ cm}.$$ If $$BD=x,$$ find $$x.$$

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