Right-Angled Triangles (Cambridge (CIE) IGCSE International Maths: Extended): Exam Questions

Find the exact value of $x$.

$x$ = ...........................

The length of one side of a rectangle is 12cm.

The length of the diagonal of the rectangle is 13cm.

Calculate the area of the rectangle.

.......................................... cm²

Calculate the area of this trapezium.

Give your answer as an exact value.

......................................... cm²

$ABCD$ is a rectangle.

$CDE$ is a straight line.

$AB$ = 12 cm Angle

 $ACB$= 60°

Angle $EAC$ = 90°

Calculate the length of $CE$.

You must show all your working.

The table shows some values of $x$ and $y$ that satisfy the equation $y=a\cos x°+b$

Find the value of $y$ when $x$ = 45

Simplify   $\frac{2\sin 45°-\tan 45°}{4\tan 60°}$

Give your answer in the form  $\frac{\sqrt{a}-\sqrt{b}}{c}$ where $a,b$ and $c$ are integers.

ADB and BCD are right-angled triangles.

BC = CD.

$\mathrm{AD}=10\sqrt{6}\mathrm{mm}$

Angle BAD = 30°.

$\tan 30°=\frac{1}{\sqrt{3}}$

Work out the length of BC.

...........................mm