In $\triangle A C D$ , You Are Given $$\angle C = 90 ^ { \circ } , \angle A = 60 ^ { \circ }$$

question 12

Multiple Choice

In $\triangle A C D$ , you are given $$\angle C = 90 ^ { \circ } , \angle A = 60 ^ { \circ }$$ and $A C = 9$ . If $B$ is a point on $\overline { C D }$ and $\angle B A C = 45 ^ { \circ }$ , find $B D$ .

• A) \(B D = 6\)
• B) \(B D =\) \(3 ( 3 - \sqrt { 3 } )\)
• C) \(B D =\) \(6 \sqrt { 3 }\)
• D) \(B D = 3\)
• E) \(B D =\) \(9 ( \sqrt { 3 } - 1 )\)

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