Trigonometry Non-Right-Triangles

In the triangle ABC below, C = 92°, A = 50° and AB = 17 cm.

Find the size of AC.

Round your answer to the nearest whole centimetre.

• 9cm

• 10cm

• 11cm

• 14cm

• 16cm

Find the size of angle A below, to the nearest degree.

• 26°

• 29°

• 30°

• 37°

• 64°

In the triangle ABC below, AB = 22 cm, AC = 18 cm and BC = 19 cm.

Find the size of angle C

• 51°

• 56°

• 68°

• 73°

• 77°

In the triangle ABC below, angle A = 59, AB = 27 cm and AC = 19 cm.

Find the length of BC

• 21cm

• 23cm

• 24cm

• 25cm

• 26cm

John and Jo are running their own orienteering course.

Both start from the same point O.

John runs at 5 m/s at a true bearing of 35° from O.

Jo runs at 4 m/s at a true bearing of 325° from O.

How far apart will they be after two minutes, to the nearest metre?

• 510m

• 581m

• 613m

• 627m

• 768m

 

In the triangle ABC , A = 54° and AB = 21 cm, AC = 13 cm and BC = 17 cm.

Find the area of the triangle to the nearest square centimetre.

• 89

• 110

• 144

• 172

• 176

A triangular area ABC has AB = 20 cm, AC = 13 cm and BC = 17 cm.

Find the area of ABC to the nearest square metre.

• 5

• 20

• 25

• 47

• 98

The perimeter of the triangle below is:

• 19.3 mm

• 38.1 mm

• 53.4 mm

• 410 mm

• 58.4 mm

The area of the following triangle is closest to:

• 994.5 cm2

• 1092 cm2

• 963.5 cm2

• 112.8 cm2

• 11557.2 cm2

Which expression will give you the length of k (in metres) in the following triangle?

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