FreeMath
Grade 8hard

Pythagorean Theorem Practice

Practice the Pythagorean theorem: a² + b² = c² where c is the hypotenuse. Use this formula to find missing sides of right triangles.

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All 20 Practice Problems

Every question in this set. Solve them on paper, or use the interactive tool above for instant feedback and hints.

  1. 1.a=3, b=4. Find c.
  2. 2.a=5, b=12. Find c.
  3. 3.a=8, b=6. Find c.
  4. 4.a=9, b=12. Find c.
  5. 5.a=5, c=13. Find b.
  6. 6.b=8, c=10. Find a.
  7. 7.a=7, b=24. Find c.
  8. 8.a=15, b=20. Find c.
  9. 9.a=9, c=15. Find b.
  10. 10.b=40, c=41. Find a.
  11. 11.a=20, b=21. Find c.
  12. 12.a=11, b=60. Find c.
  13. 13.a=8, b=15. Find c.
  14. 14.a=12, c=20. Find b.
  15. 15.b=35, c=37. Find a.
  16. 16.a=10, b=24. Find c.
  17. 17.a=16, b=30. Find c.
  18. 18.a=6, c=10. Find b.
  19. 19.b=45, c=53. Find a.
  20. 20.a=14, b=48. Find c.
Show answer key
  1. 1.a=3, b=4. Find c. Answer: 5
  2. 2.a=5, b=12. Find c. Answer: 13
  3. 3.a=8, b=6. Find c. Answer: 10
  4. 4.a=9, b=12. Find c. Answer: 15
  5. 5.a=5, c=13. Find b. Answer: 12
  6. 6.b=8, c=10. Find a. Answer: 6
  7. 7.a=7, b=24. Find c. Answer: 25
  8. 8.a=15, b=20. Find c. Answer: 25
  9. 9.a=9, c=15. Find b. Answer: 12
  10. 10.b=40, c=41. Find a. Answer: 9
  11. 11.a=20, b=21. Find c. Answer: 29
  12. 12.a=11, b=60. Find c. Answer: 61
  13. 13.a=8, b=15. Find c. Answer: 17
  14. 14.a=12, c=20. Find b. Answer: 16
  15. 15.b=35, c=37. Find a. Answer: 12
  16. 16.a=10, b=24. Find c. Answer: 26
  17. 17.a=16, b=30. Find c. Answer: 34
  18. 18.a=6, c=10. Find b. Answer: 8
  19. 19.b=45, c=53. Find a. Answer: 28
  20. 20.a=14, b=48. Find c. Answer: 50

About This Practice

This practice set includes 20 Pythagorean theorem problems. This fundamental relationship is essential for geometry, construction, and distance calculations.

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