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PYTHAGOREAN TRIPLES

PYTHAGOREAN TRIPLES. A "Pythagorean Triple" is a set of positive integers , a , b and c that fits the rule: a 2 + b 2 = c 2 Example: The smallest Pythagorean Triple is 3, 4 and 5. Let's check it: 3 2 + 4 2 = 5 2 Calculating this becomes: 9 + 16 = 25 And that is true. TRIANGLES.

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PYTHAGOREAN TRIPLES

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  1. PYTHAGOREAN TRIPLES A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a2 + b2 = c2 Example: The smallest Pythagorean Triple is 3, 4 and 5. Let's check it: 32 + 42 = 52 Calculating this becomes: 9 + 16 = 25 And that is true

  2. TRIANGLES • when you make a triangle with sides a, b and c it will be a right angled triangle (see Pythagoras' Theorem for more details): Note: • c is the longest side of the triangle, called the "hypotenuse" • a and b are the other two sides

  3. Example: The Pythagorean Triple of 3, 4 and 5 makes a Right Angled Triangle:

  4. Here are some more examples: Each has a right angle!!

  5. Here are some more examples:

  6. Question 1 Numbers (Algebra 2, Easy)

  7. Question 2 Numbers (Algebra 2, Easy)

  8. Question 3 Numbers (Algebra 2, Easy)

  9. Question 4 Numbers (Algebra 2, Easy)

  10. http://www.youtube.com/watch?v=2Kc1xbC9nAE

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