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  1. Determine whether each set of numbers form a Pythagorean triple. Pythagorean Triples Sheet 1 Printable Math Worksheets @ www.mathworksheets4kids.com Name : Score : 1) 24, 18, 30 12, 20, 16 29, 20, 21 3, ,14 10 3, 1, 5 2) 3) 4) 5) 6) 7) 8) 9) 10) Determine whether the sides of the triangle form a Pythagorean triple. 6 cm 11 cm A B2 cm C 6, 10, 8 ...

  2. Pythagorean Triples Worksheet I NAME_____ I. Use Pythagorean Theorem to find the missing dimension of each right triangle. Then complete the chart. 1. 2. Short Leg Long Leg Hypotenuse 1. 2. 4 3. . 4. 5. 6. Given the triples above that you put in the table, use the factors in the table below to compute

  3. Our first naive question is whether there are infinitely many Pythagorean triples, that is triples of natural numbers (a; b; c) satisfying the equation a2 + b2 = c2. The answer is “YES” for a very silly reason. If we take a Pythagorean triple (a; b; c) and multiply it by some other number d, then we obtain a new Pythagorean triple (da; db; dc).

  4. Handout 12.1 NAME Pythagorean Triples Use Pythagorean Theorem to find the missing dimension of each right triangle. Then complete the chart. Short Le Long Hypotenuse Given the triples above that you put in the table, use the factors in the table below to compute additional triples.

  5. Determine whether each set of numbers is a Pythagorean triple.

  6. Pythagorean Triples. A Pythagorean triple is a set of three integers a, b and c that specify the lengths of a right triangle - that is c2 = a2 + b2. The numbers 3, 4 and 5 is one example. We want to find a way of generating all Pythagorean triples.

  7. Looking at the numbers used to generate the triples and the triples that have been created, identify how and where you these terms (prime, relatively prime, exhaustive, parity, primitive) are involved in the generation of the triples.

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