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The sine rule (law of sines)

11th grade (Year 12 in England) · 16 questions · Common Core: HSG.SRT.D.10, HSG.SRT.D.11 · England: GCSE Higher Geometry

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  1. Question 1

    In triangle ABC, angle A = 68°, angle B = 39° and side a = 17 cm. Find side b to 1 decimal place.

    Answer

  2. Question 2

    In triangle ABC, a = 11 cm, b = 7 cm and angle A = 37°. Find angle B (acute) to 1 decimal place.

    Answer

  3. Question 3

    In triangle ABC, angle A = 59°, angle B = 34° and side a = 12 cm. Find side b to 1 decimal place.

    Answer

  4. Question 4

    In triangle ABC, a = 10 cm, b = 6 cm and angle A = 62°. Find angle B (acute) to 1 decimal place.

    Answer

  5. Question 5

    In triangle ABC, angle A = 44°, angle B = 49° and side a = 10 cm. Find side b to 1 decimal place.

    Answer

  6. Question 6

    In triangle ABC, a = 17 cm, b = 6 cm and angle A = 79°. Find angle B (acute) to 1 decimal place.

    Answer

  7. Question 7

    In triangle ABC, angle A = 70°, angle B = 64° and side a = 10 cm. Find side b to 1 decimal place.

    Answer

  8. Question 8

    In triangle ABC, a = 12 cm, b = 6 cm and angle A = 65°. Find angle B (acute) to 1 decimal place.

    Answer

  9. Question 9

    In triangle ABC, angle A = 34°, angle B = 68° and side a = 13 cm. Find side b to 1 decimal place.

    Answer

  10. Question 10

    In triangle ABC, a = 11 cm, b = 8 cm and angle A = 37°. Find angle B (acute) to 1 decimal place.

    Answer

  11. Question 11

    In triangle ABC, angle A = 30°, angle B = 49° and side a = 14 cm. Find side b to 1 decimal place.

    Answer

  12. Question 12

    In triangle ABC, a = 12 cm, b = 11 cm and angle A = 38°. Find angle B (acute) to 1 decimal place.

    Answer

  13. Question 13

    In triangle ABC, angle A = 31°, angle B = 55° and side a = 6 cm. Find side b to 1 decimal place.

    Answer

  14. Question 14

    In triangle ABC, a = 11 cm, b = 8 cm and angle A = 53°. Find angle B (acute) to 1 decimal place.

    Answer

  15. Question 15

    In triangle ABC, angle A = 36°, angle B = 61° and side a = 7 cm. Find side b to 1 decimal place.

    Answer

  16. Question 16

    In triangle ABC, a = 13 cm, b = 11 cm and angle A = 64°. Find angle B (acute) to 1 decimal place.

    Answer

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Answer key: The sine rule (law of sines)

  1. 1. 11.5

  2. 2. 22.5

  3. 3. 7.8

  4. 4. 32

  5. 5. 10.9

  6. 6. 20.3

  7. 7. 9.6

  8. 8. 26.9

  9. 9. 21.6

  10. 10. 26

  11. 11. 21.1

  12. 12. 34.4

  13. 13. 9.5

  14. 14. 35.5

  15. 15. 10.4

  16. 16. 49.5