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20 questions and an answer page, sized for A4.

Sine rule, cosine rule and area

Year 10 · Trigonometry · 20 questions

Name
Date
  1. 1.
    In triangle ABC, angle A = 50°, angle B = 65° and a = 9. Find b, to one decimal place.
  2. 2.
    In triangle ABC, angle A = 30°, angle B = 75° and a = 10. Find b, to one decimal place.
  3. 3.
    A triangle has sides 4 cm and 6 cm with an angle of 50° between them. Find its area in cm², to one decimal place.
  4. 4.
    A triangle has sides 4 cm and 11 cm with an angle of 150° between them. Find its area in cm², to one decimal place.
  5. 5.
    In triangle ABC, angle A = 50°, angle B = 35° and a = 10. Find b, to one decimal place.
  6. 6.
    A triangle has sides 5 cm and 10 cm with an angle of 40° between them. Find its area in cm², to one decimal place.
  7. 7.
    In triangle ABC, angle A = 30°, angle B = 65° and a = 5. Find b, to one decimal place.
  8. 8.
    In triangle ABC, angle A = 60°, angle B = 35° and a = 6. Find b, to one decimal place.
  9. 9.
    A triangle has sides 6 cm and 6 cm with an angle of 70° between them. Find its area in cm², to one decimal place.
  10. 10.
    In triangle ABC, angle A = 30°, angle B = 35° and a = 15. Find b, to one decimal place.
  11. 11.
    A triangle has sides 10 cm and 12 cm with an angle of 40° between them. Find its area in cm², to one decimal place.
  12. 12.
    In triangle ABC, a = 5, b = 5 and angle C = 40°. Find c, to one decimal place.
  13. 13.
    A triangle has sides 11 cm and 12 cm with an angle of 150° between them. Find its area in cm², to one decimal place.
  14. 14.
    In triangle ABC, a = 5, b = 5 and angle C = 70°. Find c, to one decimal place.
  15. 15.
    In triangle ABC, a = 10, b = 11 and angle C = 40°. Find c, to one decimal place.
  16. 16.
    A triangle has sides 7 cm and 5 cm with an angle of 120° between them. Find its area in cm², to one decimal place.
  17. 17.
    In triangle ABC, angle A = 60°, angle B = 55° and a = 14. Find b, to one decimal place.
  18. 18.
    In triangle ABC, angle A = 60°, angle B = 35° and a = 15. Find b, to one decimal place.
  19. 19.
    In triangle ABC, angle A = 30°, angle B = 75° and a = 14. Find b, to one decimal place.
  20. 20.
    In triangle ABC, angle A = 60°, angle B = 45° and a = 8. Find b, to one decimal place.

Free maths worksheets and practice: rocketdigits.com/learn/sine-rule-cosine-rule-and-area

Answers: Sine rule, cosine rule and area

  1. 10.6
  2. 19.3
  3. 9.2
  4. 11.0
  5. 7.5
  6. 16.1
  7. 9.1
  8. 4.0
  9. 16.9
  10. 17.2
  11. 38.6
  12. 3.4
  13. 33.0
  14. 5.7
  15. 7.2
  16. 15.2
  17. 13.2
  18. 9.9
  19. 27.0
  20. 6.5

Free maths worksheets and practice: rocketdigits.com/learn/sine-rule-cosine-rule-and-area

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