Answer
$3.324\ cm$
Work Step by Step
Using law of cosines
$b^2 = a^2+c^2-2ac \cos B$
$b^2 = 3.7^2+6.4^2-2(3.7)(6.4)\cos23^{\circ}$
$b^2=11.055$
$b=\sqrt {11.054}$
$b=3.324\ cm$
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