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GCSE: Beyond Pythagoras

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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. Beyond Pythagoras

    Checking this against what I have been given, I can verify that it was correct. I will now test the other two triangle I have been given. Triangle B = 52 + 122 = C2 25 + 144 = C2 169 = C2 13 = C This is also correct and matches with that I have been given. Triangle C = 72 + 242 = C2 49 + 276 = C2 625 = C2 25 = C All these triangles are Pythagorean triplets.

    • Word count: 4003
  3. Beyond Pythagoras

    As you can see in the table below there are 5 sets of Pythagorean triples for family 1. I was given 3 Pythagorean triples to begin with from family 1 but I have worked out and added two additional Pythagorean triples to the table (which are in green) Family 1 S M L 3 4 5 5 12 13 7 24 25 9 40 41 11 60 61 13 84 85 As you can see I have spotted patterns in family 1 I should be able to find a formula if I separate each side of family 1.

    • Word count: 3204
  4. Research on Pythagoras and his work.

    It is probable that he had two brothers although some sources say that he had three. Certainly he was well educated, learning to play the lyre, learning poetry and to recite Homer. There were, among his teachers, three philosophers who were to influence Pythagoras while he was a young man. One of the most important was Pherekydes who many describe as the teacher of Pythagoras. The other two philosophers who were to influence Pythagoras, and to introduce him to mathematical ideas, were Thales and his pupil Anaximander who both lived on Miletus.

    • Word count: 5475
  5. Investigation into a driving test.

    Fri 17.00 M 19 6 A Fri 14.00 F 26 9 A Fri 16.00 F 31 7 A Tue 12.00 F 14 17 A Tue 11.00 M 18 19 A Thur 14.00 M 21 20 A Fri 17.00 F 11 14 A Wed 15.00 F 6 27 A Wed 10.00 M 13 17 A Fri 16.00 M 24 9 B Fri 13.00 M 13 28 B Mon 12.00 M 32 B Fri 11.00 F 10 22 B Fri 16.00 F 12 33 B Thur 14.00 F 17 19 B Fri 12.00 F 23 3 B Wed 11.00 F 13 19

    • Word count: 5853
  6. Mathematics Coursework - Beyond Pythagoras

    4 +5 = 32 9 = 9 And... 24 + 25 = 7 49 = 49 It works with both of my other triangles. So this means that the Middle number + Largest number = (Smallest number) If I now work backwards, I should be able to work out some other odd numbers. E.g. 92 = Middle number + Largest number 81 = Middle number + Largest number I know that there will be only a difference of one between the middle number and the largest number.

    • Word count: 3132
  7. Beyond Pythagoras - Year 10 Maths Coursework

    The only number now I can try squaring is the smallest number. 12 + 13 = 5� 25 = 25 This works with 5 being the smallest number/side but I need to know if it works with the other 2 triangles I know. 4 +5 = 3� 9 = 9 And... 24 + 25 = 7� 49 = 49 It works with both of my other triangles. So... M + L = S� If I now work backwards, I should be able to work out some other odd numbers.

    • Word count: 3461

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