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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