1003076909

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1003076909
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\( ABC \) is a triangle. Given \( |AB|=3\,\mathrm{cm} \), the measure of \( \measuredangle CAB \) is \( 75^{\circ} \), and the measure of \(\measuredangle ABC \) is \( 45^{\circ} \), calculate the length of the side \( AC \).
\( \sqrt6\,\mathrm{cm} \)
\( 3\sqrt2\,\mathrm{cm} \)
\( 2\sqrt3\,\mathrm{cm} \)
\( 3\frac{\sqrt3}{\sqrt2}\,\mathrm{cm} \)