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$b^{2}=a^{2}+b^{2}-2ab$
$b^{2}=b^{2}+b^{2}-2bc\cos\beta$
$b^{2}=a^{2}+c^{2}$
$b^{2}=a^{2}+c^{2}+2ac\cos\beta$
$a^{2}=b^{2}+c^{2}$
$a^{2}=a^{2}+c^{2}+2ac$
$a^{2}=b^{2}+c^{2}+2bc\cos\alpha$
$a^{2}=b^{2}+c^{2}-2bc\cos\alpha$
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