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2021 JMPSC Invitationals Problems/Problem 9

Revision as of 14:07, 11 July 2021 by Samrocksnature (talk | contribs) (Created page with "==Problem== In <math>\triangle ABC</math>, let <math>D</math> be on <math>\overline{AB}</math> such that <math>AD=DC</math>. If <math>\angle ADC=2\angle ABC</math>, <math>AD=1...")
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Problem

In $\triangle ABC$, let $D$ be on $\overline{AB}$ such that $AD=DC$. If $\angle ADC=2\angle ABC$, $AD=13$, and $BC=10$, find $AC.$

Solution

asdf

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