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Question 1
In $\triangle ABC$, $B = 45^\circ, C = 105^\circ, c=\sqrt{2}$. Find side $a$ and $b$.
A.
$A=30^\circ, a=\sqrt{3}-1, b=\sqrt{2}(\sqrt{3}-1)$
B.
$A=30^\circ, a=\sqrt{3}+1, b=\sqrt{2}(\sqrt{3}-1)$
C.
$A=30^\circ, a=1-\sqrt{3}, b=\sqrt{2}(\sqrt{3}+1)$
D.
$A=30^\circ, a=\sqrt{3}-1,; b=\sqrt{2}(\sqrt{3}+1)$
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