Right-Angled Triangles - Pythagoras & Trigonometry (CIE IGCSE Maths: Extended)

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.

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

The diagram shows a circle, centre O.
AB is a chord of length 12 cm.
M is the mid-point of AB and OM = 4.5 cm.

Calculate the radius of the circle.

.......................................... cm

is a right-angled triangle.

Work out the size of angle .
Give your answer correct to 1 decimal place.

The length of the side is reduced by 1 cm.

The length of the side is still 7 cm.
Angle is still 90°

Will the value of cosincrease or decrease?
You must give a reason for your answer.

is an isosceles triangle.

Work out the area of the triangle.
Give your answer correct to 3 significant figures.

Calculate the length of .
Give your answer correct to 3 significant figures.

lies on a circle with diameter .
lies on and lies on such that is parallel to .
= 21 cm, = 18 cm and = 13.5 cm.

Work out the radius of the circle.

............................................ cm

Point A has co-ordinates (1, 0) and point B has co-ordinates (2, 5).

Calculate the angle between the line AB and the -axis.

 is a rectangle.
 is a straight line.

 = 12 cm
Angle = 60°
Angle  = 90°

Calculate the length of .
You must show all your working.

A square, with sides of length  cm, is inside a circle.
Each vertex of the square is on the circumference of the circle.

The area of the circle is 49 cm².

Work out the value of .
Give your answer correct to 3 significant figures.

Here is triangle 

The point  lies on .

Calculate the size of angle .
Give your answer correct to  decimal place.