(a)[3]
Calculate the length of $AD$.
(b)[4]
Calculate the obtuse angle $BDC$ in the diagram.
(c)[3]
Calculate the area enclosed by the quadrilateral.
Mathematics 0580 · IGCSE · Non-right-angled triangles
Non-right-angled triangles — practice question
The diagram presents quadrilateral $ABCD$ with $AB = 9.6\text{ cm}$, $BC = 15.8\text{ cm}$, diagonal $BD = 12.1\text{ cm}$, angle at $B = 56^\circ$, and angle at $C = 47^\circ$. The figure is not drawn to scale.