Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

Worldwide
Practise online insteadThe answer key prints on page 2.

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/practice/grade-12/special-right-triangles-30-60-90/

Play it as a quiz game

20 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
Download CSV

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