(a)[2]
Show that the interior angle of a regular pentagon is $108^{\circ}$.
(b(i))[3]
Find $BM$.
(b(ii)(a))[3]
Find $BX$.
(b(ii)(b))[3]
Calculate the area of triangle $AOX$.
Mathematics 0580 · IGCSE · Trigonometric functions
Trigonometric functions — practice question
The diagram displays a regular pentagon $ABCDE$ drawn inside a circle with centre $O$ and radius 12 cm. $M$ is the midpoint of $BC$. $OMX$ and $ABX$ are straight lines. NOT TO SCALE.