Hail Stewart-1!
Geometry
Level
4
In \(\triangle ABC\), \(AC=BC\), point \(D\) is on \(BC\) such that \(CD=3\times BD\), \(E\) is the midpoint of \(AD\) and that \(CE=\sqrt 7\) and \(BE=3\).
If the area of \(\triangle ABC\) is \(m\sqrt n\), where \(m\) and \(n\) are positive integers and \(n\) is square-free. Find \(m+n\).
by
Ayush Rai