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Is it a right triangle? Converse of the Pythagorean theorem

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Check whether a² + b² = c² for the longest side c. Write yes or no.

  1. A triangle has sides of 24, 70 and 74. Is it a right triangle? Write yes or no.
  2. A triangle has sides of 17, 15 and 8. Is it a right triangle? Write yes or no.
  3. A triangle has sides of 40, 42 and 58. Is it a right triangle? Write yes or no.
  4. A triangle has sides of 7, 24 and 27. Is it a right triangle? Write yes or no.
  5. A triangle has sides of 20, 21 and 29. Is it a right triangle? Write yes or no.
  6. A triangle has sides of 36, 105 and 112. Is it a right triangle? Write yes or no.
  7. A triangle has sides of 9, 40 and 41. Is it a right triangle? Write yes or no.
  8. A triangle has sides of 7, 24 and 26. Is it a right triangle? Write yes or no.
  9. A triangle has sides of 8, 10 and 6. Is it a right triangle? Write yes or no.
  10. A triangle has sides of 148, 140 and 48. Is it a right triangle? Write yes or no.
  11. A triangle has sides of 70, 24 and 75. Is it a right triangle? Write yes or no.
  12. A triangle has sides of 36, 105 and 111. Is it a right triangle? Write yes or no.
  13. A triangle has sides of 36, 160 and 164. Is it a right triangle? Write yes or no.
  14. A triangle has sides of 27, 21 and 20. Is it a right triangle? Write yes or no.
  15. A triangle has sides of 6, 8 and 12. Is it a right triangle? Write yes or no.
  16. A triangle has sides of 182, 180 and 33. Is it a right triangle? Write yes or no.
  17. A triangle has sides of 54, 240 and 246. Is it a right triangle? Write yes or no.
  18. A triangle has sides of 366, 360 and 66. Is it a right triangle? Write yes or no.
  19. A triangle has sides of 164, 160 and 36. Is it a right triangle? Write yes or no.
  20. A triangle has sides of 24, 18 and 31. Is it a right triangle? Write yes or no.
More free practice: fieldbooklearning.com/ca/practice/grade-8/is-it-a-right-triangle-converse-of-the-pythagorean-theorem/

Answer key: Is it a right triangle? Converse of the Pythagorean theorem

  1. yes
  2. yes
  3. yes
  4. no
  5. yes
  6. no
  7. yes
  8. no
  9. yes
  10. yes
  11. no
  12. yes
  13. yes
  14. no
  15. no
  16. no
  17. yes
  18. yes
  19. yes
  20. no