# Length of a Side

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In triangle $$ABC$$, $$\angle B=30^{\circ}$$, $$\angle C=90^{\circ}$$, and $$D$$ is a point on side $$BC$$ such that $$\overline{BD}=56$$ and $$\angle ADC=45^{\circ}.$$ The length of side $$AC$$ can be expressed as $$p\sqrt{3}+p.$$ What is the value of $$p?$$

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