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Can a triangle have these side lengths?

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

The two shorter sides must add up to more than the longest side. Write yes or no.

  1. Can a triangle have sides of 4 cm, 2 cm and 4 cm? Write yes or no.
  2. Can a triangle have sides of 15 cm, 3 cm and 15 cm? Write yes or no.
  3. Can a triangle have sides of 20 cm, 6 cm and 13 cm? Write yes or no.
  4. Can a triangle have sides of 15 cm, 9 cm and 25 cm? Write yes or no.
  5. Can a triangle have sides of 13 cm, 20 cm and 36 cm? Write yes or no.
  6. Can a triangle have sides of 12 cm, 6 cm and 5 cm? Write yes or no.
  7. Can a triangle have sides of 3 cm, 9 cm and 17 cm? Write yes or no.
  8. Can a triangle have sides of 9 cm, 6 cm and 7 cm? Write yes or no.
  9. Can a triangle have sides of 27 cm, 12 cm and 12 cm? Write yes or no.
  10. Can a triangle have sides of 3 cm, 20 cm and 21 cm? Write yes or no.
  11. Can a triangle have sides of 30 cm, 8 cm and 29 cm? Write yes or no.
  12. Can a triangle have sides of 5 cm, 26 cm and 30 cm? Write yes or no.
  13. Can a triangle have sides of 32 cm, 7 cm and 28 cm? Write yes or no.
  14. Can a triangle have sides of 42 cm, 40 cm and 84 cm? Write yes or no.
  15. Can a triangle have sides of 44 cm, 46 cm and 43 cm? Write yes or no.
  16. Can a triangle have sides of 28 cm, 27 cm and 51 cm? Write yes or no.
  17. Can a triangle have sides of 124 cm, 91 cm and 38 cm? Write yes or no.
  18. Can a triangle have sides of 59 cm, 16 cm and 67 cm? Write yes or no.
  19. Can a triangle have sides of 51 cm, 92 cm and 147 cm? Write yes or no.
  20. Can a triangle have sides of 68 cm, 24 cm and 42 cm? Write yes or no.
More free practice: fieldbooklearning.com/uk/practice/year-8/can-a-triangle-have-these-side-lengths/

Answer key: Can a triangle have these side lengths?

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