Skills · Trigonometry · Right Triangles & Trigonometry

Comparing c² with a² + b²

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. A triangle has sides 5, 12 and 15. c² − (a² + b²) = =
  2. A triangle has sides 3, 4 and 5. c² − (a² + b²) = =
  3. A triangle has sides 19, 20 and 29. c² − (a² + b²) = =
  4. A triangle has sides 9, 10 and 15. c² − (a² + b²) = =
  5. A triangle has sides 4, 8 and 10. c² − (a² + b²) = =
  6. A triangle has sides 20, 21 and 30. c² − (a² + b²) = =
  7. A triangle has sides 6, 12 and 13. c² − (a² + b²) = =
  8. A triangle has sides 6, 6 and 10. c² − (a² + b²) = =

Answer key

  1. 56
  2. 0
  3. 80
  4. 44
  5. 20
  6. 59
  7. −11
  8. 28

Sample Sheet · Level 3

  1. A triangle has sides 21, 28 and 34. c² − (a² + b²) = =
  2. A triangle has sides 30, 50 and 42. c² − (a² + b²) = =
  3. A triangle has sides 37, 35 and 12. c² − (a² + b²) = =
  4. A triangle has sides 50, 14 and 49. c² − (a² + b²) = =
  5. A triangle has sides 37, 48 and 60. c² − (a² + b²) = =
  6. A triangle has sides 29, 22 and 21. c² − (a² + b²) = =
  7. A triangle has sides 9, 12 and 14. c² − (a² + b²) = =
  8. A triangle has sides 30, 34 and 17. c² − (a² + b²) = =

Answer key

  1. −69
  2. −164
  3. 0
  4. −97
  5. −73
  6. −84
  7. −29
  8. −33

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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