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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