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Use the Pythagorean theorem to find the hypotenuse

Year 11 maths · Fieldbook Learning

Name ______________________ Date __________

Add the squares of the legs, then take the square root.

  1. A right triangle has legs of 63 cm and 60 cm. How long is the hypotenuse?
  2. What is the hypotenuse of a right triangle with legs 72 cm and 21 cm?
  3. A right triangle has legs of 4 cm and 3 cm. How long is the hypotenuse?
  4. The two legs of a right triangle measure 42 cm and 40 cm. Find the length of the hypotenuse.
  5. What is the hypotenuse of a right triangle with legs 14 cm and 48 cm?
  6. A right triangle has legs of 14 cm and 48 cm. How long is the hypotenuse?
  7. The two legs of a right triangle measure 11 cm and 60 cm. Find the length of the hypotenuse.
  8. The two legs of a right triangle measure 3 cm and 4 cm. Find the length of the hypotenuse.
  9. A rectangular field measures 20 m by 21 m. How long is the diagonal path across it?
  10. A rectangular screen is 14 cm wide and 48 cm tall. Find its diagonal.
  11. A rectangular screen is 120 cm wide and 22 cm tall. Find its diagonal.
  12. A rectangular screen is 27 cm wide and 120 cm tall. Find its diagonal.
  13. What is the hypotenuse of a right triangle with legs 80 cm and 84 cm?
  14. The two legs of a right triangle measure 60 cm and 32 cm. Find the length of the hypotenuse.
  15. A right triangle has legs of 30 cm and 16 cm. How long is the hypotenuse?
  16. A right triangle has legs of 32 cm and 126 cm. How long is the hypotenuse?
  17. A rectangle is 28 m by 45 m. How long is its diagonal?
  18. A rectangular field measures 3 m by 4 m. How long is the diagonal path across it?
  19. A rectangular screen is 16 cm wide and 12 cm tall. Find its diagonal.
  20. A rectangle is 240 m by 44 m. How long is its diagonal?
More free practice: fieldbooklearning.com/uk/practice/year-11/pythagorean-theorem-find-the-hypotenuse/

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20 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

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  2. Click the matching button below, then click the first empty question row of the template and paste.
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Answer key: Use the Pythagorean theorem to find the hypotenuse

  1. 87
  2. 75
  3. 5
  4. 58
  5. 50
  6. 50
  7. 61
  8. 5
  9. 29
  10. 50
  11. 122
  12. 123
  13. 116
  14. 68
  15. 34
  16. 130
  17. 53
  18. 5
  19. 20
  20. 244