# Dividing a Side

Level pending

In triangle $$ABC$$, $$\overline{AB}=24$$, $$\overline{AC}=18$$ and $$\angle A=105^{\circ}$$. If point $$D$$ on side $$BC$$ satisfies$$\angle BAD=60^{\circ}$$ and $$\angle CAD=45^{\circ}$$, then what is the value of $$\frac{\overline{BD}^2}{\overline{DC}^2}?$$

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