Probably because Pythagoras and his followers didn't like irrational numbers. Vicki Rosenzweig 20: 17, 4 July 2002 These integral triples are much more interesting than the general concept of triples of real numbers (x, y, z) with x 2 y 2 z 2; pretty much all you can say about the latter is that they form an infinite cone in 3dimensional space. Maths GCSE coursework: Beyond Pythagoras Within this investigation I will look at the relationships between the lengths, perimeters and areas of rightangled triangles.
This looks at Pythagorean Triples, three numbers that satisfy the condition of: Math's Coursework: Pythagoras triples. ( n ( n 1 ) ) The middle side value, because it is simply four times a triangular number, should be the formula above multiplied by four: 4 Another worksheet on triples. This one has them using triples to find missing lengths as well as just generating triples.
KS3 Pythagorean Triple problems. 4 3 customer reviews. Author: Created by Lots of resources (some with answers provided) to help you teach Pythagoras. Originally intended for GCSE foundation students. Tristanjones Beyond Pythagoras What this coursework has asked me to do is to investigate and find a generalisation, for a family of Pythagorean triples. This will include odd numbers and even numbers.
I am going to investigate a family of rightangled triangles for which all the lengths are positive integers and the shortest is an odd number.
Beyond Pythagoras What this coursework has asked me to do is to investigate and find a generalisation, for a family of Pythagorean triples. This will include Pythagoras Theorem applied to triangles with wholenumber sides such as the 345 triangle. Here are online calculators, generators and finders with methods to generate the triples, to investigate the patterns and properties Pythagoras Theorem, which is applicable to right angled triangles, states that in a right triangle, the area of square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides of the triangle (called legs).
Mathematically, it is given by c2 a2 b2, where c is the largest (hypotenuse) among the sides a, b and c.