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GCSE: Pythagorean Triples

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  1. GCSE Maths questions

    • Develop your confidence and skills in GCSE Maths using our free interactive questions with teacher feedback to guide you at every stage.
    • Level: GCSE
    • Questions: 75
  2. Investigating families of Pythagorean triples.

    As a result, a = 2n + 1 The difference between the numbers in column b is 8 at first, then 12, then 16, then 20, and so on, adding 4 to the difference each time. Therefore, the second difference is 4. If we divide 4 by 2, we get 2. As a result, the first part of the formula for b is: 2n2 I then noticed that by adding double n to the above formula, I could get all the numbers in column b.

    • Word count: 2413
  3. Beyond Pythagoras - Pythagorean Triples

    This is also true for the numbers 7, 24 and 25: 7 25 24 The perimeter and area for this triangle are : Perimeter = 7 + 24 + 25 = 56 Area = 1/2 x 7 x 24 = 84 Below is a table showing many Pythagorean triples: Length of shortest side (a) Length of middle side (b) Length of longest side (c) Perimeter Area 3 4 5 12 6 5 12 13 30 30 7 24 25 56 84 9 40 41 90 180 11 60 61 132 330 13 84 85 182 546 15 112 113 240

    • Word count: 2638

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