Sine and cosine rules

ABCD is a quadrilateral.

Find the size of angle ABC. Give your answer correct to the nearest degree.

ABC is a triangle.

Work out the length of AB.

Here is triangle ABC.

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

ABCD is a quadrilateral.

The area of triangle ABC is 54 cm² Calculate the area of triangle ACD. Give your answer correct to 3 significant figures.

Here is triangle ABC.

Find the size of angle ABC. You must show all your working.

ABCD is a trapezium.

AD is parallel to BC. Calculate the area of triangle BCD. Give your answer correct to 1 decimal place.

ABC is a triangle.

Calculate the size of angle BAC. Give your answer correct to 1 decimal place.

OAB is a triangle. OBC is a sector of a circle, centre O.

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

Here is a triangle ABC.

Work out the value of sin ABC Give your answer in the form where m and n are integers.

ABCDEFG is a regular heptagon.

The area of triangle ABG is 30 cm² Calculate the length of GB. Give your answer correct to 3 significant figures. You must show all your working.

PQR and QRS are triangles.

Calculate the length of QS. Give your answer correct to 3 significant figures. You must show all your working.

Here is triangle ABC.

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

Find the area of triangle ABC. Give your answer correct to 3 significant figures.

ABC is a triangle.

D is the point on BC such that angle BAD = angle DAC = x°

Here is triangle ABC.

Work out the length of AB. Give your answer correct to 1 decimal place.

The diagram shows triangle ABC.

AB = 3.4 cm AC = 6.2 cm BC = 6.1 cm

D is the point on BC such that

Calculate the length DC. Give your answer correct to 3 significant figures. You must show all your working.

The diagram shows the positions of three towns, Acton (A), Barston (B) and Chorlton (C).

Chorlton is 9 km from Barston on a bearing of 150° Find the bearing of Chorlton from Acton. Give your answer correct to 1 decimal place. You must show all your working.

Here is a shaded shape ABCD.

The shape is made from a triangle and a sector of a circle, centre O and radius 6 cm. OCD is a straight line.

AD = 14 cm Angle AOD = 140° Angle OAD = 24°

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

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

ABC and ADC are triangles.

The area of triangle ADC is 56 m²

Work out the length of AB. Give your answer correct to 1 decimal place.