0606 P22 - Nov 2020 - Q8 - 8 marks
8215
In triangle \(ABC\), \(AB=2\sqrt3+1\) cm and \(\angle BAC=30^\circ\). Given that the area of triangle \(ABC\) is \(5.5\text{ cm}^2\), find the exact length of \(AC\). Write your answer in the form \(a+b\sqrt3\), where \(a\) and \(b\) are integers.
(b) Show that \(BC^2=c+d\sqrt3\), where \(c\) and \(d\) are integers to be found.
