Line segments AC and BD are diameters of the circle of radius one. If $∠ B D C = 60^{0}$ , the length of line segment AB is _______

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Detailed Solution

$∠ A = ∠ D = 60$

$\begin{array}{l} A C = 2 (1) = 2 \\ ∠ A B C = 90^{0} ∠ A C B = 30^{0} \\ S i n 30 = \frac{A B}{A C} = \frac{x}{2} \\ \frac{1}{2} = \frac{x}{2} \Rightarrow x = 1 \end{array}$

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