(a(i))[4]
Find the value of $AB$.
(a(ii))[4]
Find the value of $BC$.
(b(i))[2]
Calculate $y$.
(b(ii))[2]
Calculate the sector’s area.
Mathematics 0580 · IGCSE · Non-right-angled triangles
Non-right-angled triangles — practice question
Diagram (a): The triangles $ABD$ and $BCD$ are shown with their sides and angles marked. $AD = 16.5$ cm, $BD = 12.4$ cm, angle $ADB = 64^{\circ}$, angle $BDC = 53^{\circ}$, angle $DBC = 95^{\circ}$. Not drawn to scale.
Diagram (b): A circular sector with radius 3.8 cm is shown. The arc length measures 7.7 cm, and the angle at the centre is labelled $y^{\circ}$. Not drawn to scale.