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Pythagorean theorem practice

Students practise solving for the hypotenuse and a missing leg using the Pythagorean theorem through a short set of right-triangle word problems with varied units. The worksheet begins with two direct hypotenuse questions, then two missing-leg questions. Level: 8th grade.

By Edform · Mathematics · Grade 8 · Published Oct 28, 2026 · Used 1 time

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Questions

  1. A right triangle has legs of 6 inches and 8 inches. What is the length of its hypotenuse?
  2. A right triangle has a hypotenuse of 13 feet and one leg of 5 feet. What is the length of the other leg?
  3. A right triangle has legs of 10 yards and 24 yards. What is the length of its hypotenuse?
  4. A right triangle has a hypotenuse of 25 centimeters and one leg of 7 centimeters. What is the length of the other leg?
  5. A right triangle has legs of 9 meters and 40 meters. Calculate the length of the hypotenuse in meters.
  6. A right triangle has a hypotenuse of 17 inches and one leg of 8 inches. Calculate the length of the other leg in inches.
  7. Arrange the steps for finding the missing leg x when a right triangle has a hypotenuse of 15 and another leg of 9.
  8. Match each right-triangle information set to the length being found.
  9. Choose the expression that correctly completes the sentence.
  10. Sort each task into the category that describes what you are finding.

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