8th Grade Math (Math 8) · Chapter 11 · Lesson 11.6 · Printable PDF

Pythagorean Triples Worksheet with Answer Key

6 problems on Pythagorean triples: writing a triple as a multiple of a primitive triple, finding the multiplier, a corner shelf, patterns in multiples of 3, 4 and 5, a generating formula, and remainders of hypotenuses. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Pythagorean triples worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Decide if each set is a Pythagorean triple and write it as k times a primitive triple:
    (20, 48, 52)(27, 36, 45)(33, 56, 65)(12, 16, 21)(18, 80, 82)
  2. Name the primitive triple and the multiplier k for each right triangle.
    legs 0.9 and 1.2leg 0.7, hypotenuse 2.5legs 160 and 300leg 45, hypotenuse 117legs 2 and 2.1
  3. Word problem: the sides of Emma's triangular corner shelf.
  4. Use the multiples of 3, 4 and 5 in every triple to check or complete triples.
  5. Use the generating formula with m equal to 9 and a range of n values.
  6. Find the remainders of hypotenuses when divided by 4 and explain the pattern.

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