Could you please tell me what pythagoria triad is.I am a year 10 student.
thank you The usual terminology is PYTHAGOREAN TRIPLE. A Pythagorean triple is a set of three counting numbers (a, b, c) that satisfy the equation The name comes from the relationship of these numbers to the sides of right triangles  the theorem of Pythagoras says that the sum of the squares on the sides of a right triangle equals the square on the hypotenuse. In other words, a Pythagorean triple gives the side lengths of a right triangle when those lengths are all integers. Familiar examples are (3, 4, 5), (6, 8, 10) and (5, 12, 13). Note that the numbers in the middle triple have a common divisor greater than 1 (namely 2), while the first and last have 1 as their greatest common divisor. Such Pythagorean triples are called "primitive." There is a simple way to list all primitive Pythagorean triples: Choose two counting numbers r and s that satisfy
If you set a = 2rs, b = s^{2}  r^{2}, and c = s^{2} + r^{2}, then (a, b, c) is a Pythagorean triple. Moreover, for every primitive Pythagorean triple you can work backwards and find such an r and s. To test your understanding, you might want to make a complete list of all Pythagorean triples having a < b < c < 26. There are 8 triples in the list, four of which are primitive. Cheers,Chris
