  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: pythagorean triples   start over

5 items are filed under this topic.    Page1/1            Triangles with integer sides 2005-11-04 From Tammy:I am trying to find another pair of integer sided isosceles triangles, not the same as the ones listed below, with equal areas. (5,5,8) (5,5,6)Answered by Chri Fisher.     Odd Pythagorean triples 2003-10-23 From Kathleen:in a triple can a and b be odd numbersAnswered by Penny Nom.     Pythagoras & magic squares 2001-10-09 From John:My grandson became intrigued when he recently 'did' Pythagoras at elementary school. He was particularly interested in the 3-4-5 triangle, and the fact that his teacher told him there was also a 5-12-13 triangle, i.e. both right-angled triangles with whole numbers for all three sides. He noticed that the shortest sides in the two triangles were consecutive odd numbers, 3 & 5, and he asked me if other right angled triangles existed, perhaps 'built' on 7, 9, 11 and so on. I didn't know where to start on this, but, after trying all sorts of ideas, we discovered that the centre number in a 3-order 'magic square' was 5, i.e. (1+9)/2, and that 4 was 'one less'. Since the centre number in a 5-order 'magic square' was 13 and that 12 was 'one less' he reckoned that he should test whether a 7-order square would also generate a right-angled triangle for him. He found that 7-24-25, arrived at by the above process, also worked! He tried a few more at random, and they all worked. He then asked me two questions I can't begin to answer ... Is there a right-angled triangle whose sides are whole numbers for every triangle whose shortest side is a whole odd number? and Is each triangle unique (or, as he put it, can you only have one whole-number-sided right-angled triangle for each triangle whose shortest side is an odd number)? Answered by Chris Fisher.     Pythagorean triples 2000-03-01 From Bob Ross :Could you please tell me what pythagoria triad is.I am a year 10 student. Answered by Chris Fisher.     Pythagorean Triples. 1997-12-04 From Shameq Sayeed:I've got a couple of problems which I hope you'll be able to solve for me. I'm investigating pythagorean triples, and I have found a trend for the triples themselves, and thus have been able to form a general equation, i.e. a=2x+1, b=2x^2+2x, and c=b+1. Now, I sure this equation works, because I've tried it out and have come up with triples that adhere to a^2 + b^2 = c^2. But I was wondering WHY c=b+1. Is it possible to have c=b+2, and if not why not? THAT is the first problem.Answered by Chris Fisher.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français