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Consider \(\triangle ABC\) with \(AB = 5\) and \(BC = 6\). Let \(D\) be a point on \(AC\) such that \(CD = 2AD\) and \(\angle CBD = 2\angle ABD\), as in the picture below:


Find length \(AC\).

 

Any help would be greatly appreciated smiley

 Jul 18, 2021
 #1
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I think you kind of have an idea of what this problem is about based on the title of your question. Try using the law of cosines first.

 Jul 18, 2021

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