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Find a missing side of a right triangle

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Use a² + b² = c² and solve for the missing leg: subtract the known leg squared from the hypotenuse squared.

  1. A right triangle has legs of 27 km and 120 km. How long is the hypotenuse, in km?
  2. A right triangle has legs of 42 km and 40 km. How long is the hypotenuse, in km?
  3. A right triangle has a hypotenuse of 82 m and one leg of 80 m. How long is the other leg, in m?
  4. A right triangle has legs of 22 cm and 120 cm. How long is the hypotenuse, in cm?
  5. A right triangle has legs of 12 cm and 5 cm. How long is the hypotenuse, in cm?
  6. A right triangle has a hypotenuse of 52 m and one leg of 48 m. How long is the other leg, in m?
  7. A right triangle has legs of 140 m and 48 m. How long is the hypotenuse, in m?
  8. A right triangle has legs of 27 m and 120 m. How long is the hypotenuse, in m?
  9. A right triangle has a hypotenuse of 85 m and one leg of 75 m. How long is the other leg, in m?
  10. A right triangle has legs of 175 km and 60 km. How long is the hypotenuse, in km?
  11. A right triangle has a hypotenuse of 51 cm and one leg of 24 cm. How long is the other leg, in cm?
  12. A right triangle has legs of 45 cm and 24 cm. How long is the hypotenuse, in cm?
  13. A right triangle has a hypotenuse of 145 km and one leg of 105 km. How long is the other leg, in km?
  14. A right triangle has a hypotenuse of 52 cm and one leg of 48 cm. How long is the other leg, in cm?
  15. A right triangle has a hypotenuse of 25 km and one leg of 7 km. How long is the other leg, in km?
  16. A right triangle has a hypotenuse of 85 km and one leg of 40 km. How long is the other leg, in km?
  17. A right triangle has a hypotenuse of 34 m and one leg of 16 m. How long is the other leg, in m?
  18. A right triangle has a hypotenuse of 119 km and one leg of 105 km. How long is the other leg, in km?
  19. A right triangle has legs of 240 m and 44 m. How long is the hypotenuse, in m?
  20. A right triangle has legs of 12 cm and 35 cm. How long is the hypotenuse, in cm?
More free practice: fieldbooklearning.com/ca/practice/grade-8/find-a-missing-side-of-a-right-triangle/

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Answer key: Find a missing side of a right triangle

  1. 123
  2. 58
  3. 18
  4. 122
  5. 13
  6. 20
  7. 148
  8. 123
  9. 40
  10. 185
  11. 45
  12. 51
  13. 100
  14. 20
  15. 24
  16. 75
  17. 30
  18. 56
  19. 244
  20. 37