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 \(x.\)
Your answer seems reasonable.
Find out if you're right!