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

taeijr Jul 18, 2021

#1**+2 **

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.

dancingmonkey Jul 18, 2021