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Use 30-60-90 triangles

Grade 12 math · Fieldbook Learning

Name ______________________ Date __________

The hypotenuse is twice the side opposite 30°.

  1. In a 30-60-90 triangle the hypotenuse is 60 cm. How long is the side opposite the 30° angle?
  2. In a 30-60-90 triangle the side opposite the 30° angle is 30 cm. How long is the hypotenuse?
  3. In a 30-60-90 triangle the hypotenuse is 58 cm. How long is the side opposite the 30° angle?
  4. In a 30-60-90 triangle the hypotenuse is 28 cm. How long is the side opposite the 30° angle?
  5. In a 30-60-90 triangle the hypotenuse is 80 cm. How long is the side opposite the 30° angle?
  6. In a 30-60-90 triangle the hypotenuse is 74 cm. How long is the side opposite the 30° angle?
  7. In a 30-60-90 triangle the side opposite the 30° angle is 16 cm. How long is the hypotenuse?
  8. In a 30-60-90 triangle the hypotenuse is 22 cm. How long is the side opposite the 30° angle?
  9. In a 30-60-90 triangle the hypotenuse is 32 cm. How long is the side opposite the 30° angle?
  10. In a 30-60-90 triangle the side opposite the 30° angle is 2 cm. How long is the hypotenuse?
  11. In a 30-60-90 triangle the side opposite the 30° angle is 7 cm. How long is the hypotenuse?
  12. In a 30-60-90 triangle the hypotenuse is 50 cm. How long is the side opposite the 30° angle?
  13. In a 30-60-90 triangle the hypotenuse is 16 cm. How long is the side opposite the 30° angle?
  14. In a 30-60-90 triangle the hypotenuse is 56 cm. How long is the side opposite the 30° angle?
  15. In a 30-60-90 triangle the hypotenuse is 30 cm. How long is the side opposite the 30° angle?
  16. In a 30-60-90 triangle the side opposite the 30° angle is 28 cm. How long is the hypotenuse?
  17. In a 30-60-90 triangle the hypotenuse is 8 cm. How long is the side opposite the 30° angle?
  18. In a 30-60-90 triangle the hypotenuse is 62 cm. How long is the side opposite the 30° angle?
  19. In a 30-60-90 triangle the side opposite the 30° angle is 20 cm. How long is the hypotenuse?
  20. In a 30-60-90 triangle the hypotenuse is 44 cm. How long is the side opposite the 30° angle?
More free practice: fieldbooklearning.com/ca/practice/grade-12/special-right-triangles-30-60-90/

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Answer key: Use 30-60-90 triangles

  1. 30
  2. 60
  3. 29
  4. 14
  5. 40
  6. 37
  7. 32
  8. 11
  9. 16
  10. 4
  11. 14
  12. 25
  13. 8
  14. 28
  15. 15
  16. 56
  17. 4
  18. 31
  19. 40
  20. 22