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Pythagorean theorem: find a side

Grade 10 math · Fieldbook Learning

Name ______________________ Date __________

a² + b² = c², where c is the hypotenuse.

  1. A right triangle has legs of 6 cm and 8 cm. How long is the hypotenuse?
  2. A right triangle has a hypotenuse of 17 cm and one leg of 8 cm. How long is the other leg?
  3. A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. How long is the other leg?
  4. A right triangle has legs of 7 cm and 24 cm. How long is the hypotenuse?
  5. A right triangle has legs of 16 cm and 30 cm. How long is the hypotenuse?
  6. A right triangle has a hypotenuse of 10 cm and one leg of 6 cm. How long is the other leg?
  7. A right triangle has a hypotenuse of 50 cm and one leg of 14 cm. How long is the other leg?
  8. A right triangle has legs of 8 cm and 15 cm. How long is the hypotenuse?
  9. A right triangle has a hypotenuse of 20 cm and one leg of 12 cm. How long is the other leg?
  10. A right triangle has legs of 10 cm and 24 cm. How long is the hypotenuse?
  11. A right triangle has legs of 14 cm and 48 cm. How long is the hypotenuse?
  12. A right triangle has a hypotenuse of 29 cm and one leg of 20 cm. How long is the other leg?
  13. A right triangle has a hypotenuse of 25 cm and one leg of 7 cm. How long is the other leg?
  14. A right triangle has legs of 9 cm and 12 cm. How long is the hypotenuse?
  15. A right triangle has legs of 15 cm and 20 cm. How long is the hypotenuse?
  16. A right triangle has legs of 3 cm and 4 cm. How long is the hypotenuse?
  17. A right triangle has a hypotenuse of 34 cm and one leg of 16 cm. How long is the other leg?
  18. A right triangle has a hypotenuse of 58 cm and one leg of 40 cm. How long is the other leg?
  19. A right triangle has legs of 40 cm and 42 cm. How long is the hypotenuse?
  20. A right triangle has a hypotenuse of 26 cm and one leg of 10 cm. How long is the other leg?
More free practice: fieldbooklearning.com/ca/practice/grade-10/pythagorean-theorem-find-a-side/

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Answer key: Pythagorean theorem: find a side

  1. 10 cm
  2. 15 cm
  3. 12 cm
  4. 25 cm
  5. 34 cm
  6. 8 cm
  7. 48 cm
  8. 17 cm
  9. 16 cm
  10. 26 cm
  11. 50 cm
  12. 21 cm
  13. 24 cm
  14. 15 cm
  15. 25 cm
  16. 5 cm
  17. 30 cm
  18. 42 cm
  19. 58 cm
  20. 24 cm