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In rectangle ABCD, shown here, \(\overline{CE}\) is perpendicular to \(\overline{BD}\). If \(BC = \sqrt 3\) and \(DC = 3\), what is CE?

 Feb 22, 2021
 #1
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By similar triangles, CE = sqrt(3)/2.

 Feb 22, 2021
 #2
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CE = 3√3 / √12

 Feb 22, 2021

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