LON-CAPA geo_plane001.problem

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$\textrm{The triangle } ABC \textrm{, which is shown in the figure below, is a right-triangle} \\ \textrm{in which } \angle {C} = 90^\circ, \ \textrm{and} \ AC = BC. \textrm{ If the point } D \textrm{ is on the side } AC, \\ \textrm{and} \angle \mathit{CBD} = 30^\circ, \textrm{ then the value} \textrm{ of } \frac{AD}{DC} \textrm{ is}: \textrm{ } \\ \textrm{ } \\ \textrm{ } \\ \textrm{ } \\$

$PlaneFigures001$

$\sqrt{2}\, -\, 1$

$\frac{\sqrt{3}\, +\, 1}{2}$

$\sqrt{3}$

$\frac{\sqrt{3}}{3}$

$\sqrt{3}\, -\, 1$

$\textrm{None of the above}$

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