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Decide which rule solves a triangle

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

    You know two angles and a side; find another side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  2. Question 2

    You know two sides and an angle opposite one of them; find another angle. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  3. Question 3

    You know two angles and a side; find another side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  4. Question 4

    You know two sides and the angle between them; find the third side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  5. Question 5

    You know two angles and the side between them; find a side opposite one of them. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  6. Question 6

    You know two sides and the angle between them; find the third side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  7. Question 7

    You know two sides and the angle between them; find the third side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  8. Question 8

    You know a right angle, one other angle and the hypotenuse; find a shorter side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  9. Question 9

    You know two angles and a side; find another side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  10. Question 10

    You know two sides and the angle between them; find the third side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  11. Question 11

    You know two sides and the angle between them; find the third side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  12. Question 12

    You know two angles and the side between them; find a side opposite one of them. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  13. Question 13

    You know two sides and the angle between them; find the third side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  14. Question 14

    You know two sides and an angle opposite one of them; find another angle. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  15. Question 15

    You know two sides and an angle opposite one of them; find another angle. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)
  16. Question 16

    You know two sides and the angle between them; find the third side. Which is the most direct method?

    • A. Sine rule
    • B. Cosine rule
    • C. SOH CAH TOA (right angle)

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Answer key: Decide which rule solves a triangle

  1. 1. A. Sine rule

  2. 2. A. Sine rule

  3. 3. A. Sine rule

  4. 4. B. Cosine rule

  5. 5. A. Sine rule

  6. 6. B. Cosine rule

  7. 7. B. Cosine rule

  8. 8. C. SOH CAH TOA (right angle)

  9. 9. A. Sine rule

  10. 10. B. Cosine rule

  11. 11. B. Cosine rule

  12. 12. A. Sine rule

  13. 13. B. Cosine rule

  14. 14. A. Sine rule

  15. 15. A. Sine rule

  16. 16. B. Cosine rule