(a)[5]
Show that $CD = 10$ cm using the information provided.
(b)[4]
Find the perimeter of the quadrilateral $ACDE$. Give your answer in the form $p + k\sqrt{q}$.
Mathematics 0580 · IGCSE · Right-angled triangles
Right-angled triangles — practice question
The quadrilateral $ACDE$ is made up from two right-angled triangles, $ABE$ and $BCD$. The given lengths are $AC = 17$ cm, $AE = 18$ cm and $BD = 6$ cm, and the diagram shows an angle of $60^\circ$ at $A$.