FreeMath
Grade 8hard

Grade 8 Pythagorean Theorem Practice

Practice grade 8 Pythagorean theorem with problems finding missing sides of right triangles. Eighth grade introduces this fundamental geometric relationship.

Loading...

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.Find c when a=3 and b=4 in a right triangle.
  2. 2.Find c when a=5 and b=12 in a right triangle.
  3. 3.Find c when a=8 and b=15 in a right triangle.
  4. 4.Find c when a=6 and b=8 in a right triangle.
  5. 5.Find c when a=9 and b=12 in a right triangle.
  6. 6.Find b when a=3 and c=5 in a right triangle.
  7. 7.Find a when b=12 and c=13 in a right triangle.
  8. 8.Find b when a=8 and c=17 in a right triangle.
  9. 9.Find a when b=24 and c=25 in a right triangle.
  10. 10.Find b when a=20 and c=29 in a right triangle.
  11. 11.Find c when a=7 and b=24 in a right triangle.
  12. 12.Find c when a=10 and b=24 in a right triangle.
  13. 13.Find c when a=15 and b=20 in a right triangle.
  14. 14.Find c when a=12 and b=16 in a right triangle.
  15. 15.Find c when a=9 and b=40 in a right triangle.
  16. 16.Find a when b=40 and c=41 in a right triangle.
  17. 17.Find b when a=6 and c=10 in a right triangle.
  18. 18.Find c when a=11 and b=60 in a right triangle.
  19. 19.Find a when b=60 and c=61 in a right triangle.
  20. 20.Find c when a=5 and b=5 in a right triangle (round to nearest tenth).
Show answer key
  1. 1.Find c when a=3 and b=4 in a right triangle. Answer: 5
  2. 2.Find c when a=5 and b=12 in a right triangle. Answer: 13
  3. 3.Find c when a=8 and b=15 in a right triangle. Answer: 17
  4. 4.Find c when a=6 and b=8 in a right triangle. Answer: 10
  5. 5.Find c when a=9 and b=12 in a right triangle. Answer: 15
  6. 6.Find b when a=3 and c=5 in a right triangle. Answer: 4
  7. 7.Find a when b=12 and c=13 in a right triangle. Answer: 5
  8. 8.Find b when a=8 and c=17 in a right triangle. Answer: 15
  9. 9.Find a when b=24 and c=25 in a right triangle. Answer: 7
  10. 10.Find b when a=20 and c=29 in a right triangle. Answer: 21
  11. 11.Find c when a=7 and b=24 in a right triangle. Answer: 25
  12. 12.Find c when a=10 and b=24 in a right triangle. Answer: 26
  13. 13.Find c when a=15 and b=20 in a right triangle. Answer: 25
  14. 14.Find c when a=12 and b=16 in a right triangle. Answer: 20
  15. 15.Find c when a=9 and b=40 in a right triangle. Answer: 41
  16. 16.Find a when b=40 and c=41 in a right triangle. Answer: 9
  17. 17.Find b when a=6 and c=10 in a right triangle. Answer: 8
  18. 18.Find c when a=11 and b=60 in a right triangle. Answer: 61
  19. 19.Find a when b=60 and c=61 in a right triangle. Answer: 11
  20. 20.Find c when a=5 and b=5 in a right triangle (round to nearest tenth). Answer: 7.1

About This Practice

This practice set includes 20 Pythagorean theorem problems for eighth graders. Understanding this theorem is essential for geometry, trigonometry, and real-world applications.

Want more practice? See all Grade 8 practice →