# Ratio of Lengths

Geometry Level 2

In triangle $$ABD$$, the three sides are $$\overline{AB}=10$$, $$\overline{BD}=20$$ and $$\overline{AD}=18.$$ Point $$C$$ on side $$BD$$ is such that $$\overline{AC}=10.$$ What is the ratio $$\overline{BC}:\overline{CD}?$$

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