Aviation Math - REVISION - CHAP4 - Lesson 4.5

In triangle ABC the length of AC is 15cm. Angle ABC = 112°. Angle BAC = 33°. Work out the length of BC.

• 8.8cm

• 7.5cm

• 15.8cm

• 20.2cm

Calculate the area of the triangle with sides 6cm, 7cm, and included angle 60°.

• 18.2 cm²

• 21.0 cm²

• 14.5 cm²

• 12.0 cm²

Calculate the size of angle ABC in triangle ABC with AB = 18cm, AC = 20cm, and angle BAC = 60°.

• Angle ABC is approximately 46.4° (using the Law of Sines).

• Angle ABC is approximately 74.2° (using the Law of Sines).

• Angle ABC is approximately 53.1° (using the Law of Sines).

• Angle ABC is approximately 41.2° (using the Law of Sines).

Calculate the length of BC in triangle ABC with AB = 23cm, AC = 20cm, and angle BAC = 55°.

• 20.0cm

• 25.6cm

• 15.3cm

• 10.8cm

Given the triangle with sides 21 cm, 32.4 cm, and an angle of 84°, calculate the size of the angle labelled y.

• y = 40.1°

• y = 45.3°

• y = 68.1°

• y = 96.7°

Given the triangle with sides 20 cm, and angles 40° and 46°, find the size of side x.

• 14.4cm

• 17.9cm

• 21.2cm

• 9.5cm

For triangle ABC, given angle B = 74°, angle C = 32°, and side BC = 7.8 m, find the area of the triangle.

• Area = 8.9 m²

• Area = 3.2 m²

• Area = 16.1 m²

• Area = 6.1 m²

For triangle ABC, given side AC = 6 cm, side AB = 10 cm, and angle C = 66°, find the area of the triangle.

• Area = 29.6 cm²

• Area = 12.2 cm²

• Area = 34.8 cm²

• Area = 21.7 cm²

Find the area of the triangle in each case: For triangle ABC, given sides AB = 15 ft, AC = 12 ft, and BC = 7 ft, find the area of the triangle.

• Area = 41.2 ft²

• Area = 56.7 ft²

• Area = 35.5 ft²

• Area = 28.9 ft²

For triangle ABC, side b = 13cm, side c = 11cm and side a = 5cm. Find the area of the triangle.

• Area = 26.9cm²

• Area = 31.5cm²

• Area = 25.8cm²

• Area = 19.6cm²