Area of a triangle using sine

Here is triangle ABC.

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

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.

ABCD is a trapezium.

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

Here is a triangle.

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

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.

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.

ABCDEF is a regular hexagon with sides of length x. This hexagon is enlarged, centre F, by scale factor p to give hexagon FGHIJK.

The diagram shows a rectangle, ABDE, and two congruent triangles, AFE and BCD.

area of rectangle ABDE area of triangle AFE + area of triangle BCD AB: AE 1: 3 Work out the length of AE.

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.

ONQ is a sector of a circle with centre O and radius 11 cm.

A is the point on ON and B is the point on OQ such that AOB is an equilateral triangle of side 7 cm.

Calculate the area of the shaded region as a percentage of the area of the sector ONQ. Give your answer correct to 1 decimal place.

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