(a)[3]
Show that $AC=17.37$ cm, accurate to 2 decimal places.
(b)[4]
Calculate the angle $ACE$.
(c)[3]
Calculate the perimeter of the quadrilateral $ABCD$.
Mathematics 0580 · IGCSE · Non-right-angled triangles
Non-right-angled triangles — practice question
ABCD is a quadrilateral, with $E$ lying on $CD$. $AB=8.7$ cm, $BC=11.4$ cm and $CE=10.9$ cm. Also, $\angle ADE=90^\circ$, $\angle ABC=119^\circ$ and $\angle CAE=20^\circ$.