Pythagorean TriplesDate: 05/31/99 at 00:48:24 From: lea Subject: Pythagorean triples Hi - I've learned about the Pythagorean theorem in school. I just read something on Pythagorean triples, e.g. 3^2 + 4^2 = 5^2 Is there a formula for Pythagorean triples? Thanks for your time. Date: 05/31/99 at 17:36:34 From: Doctor White Subject: Re: Pythagorean triples Lea: You can find some neat articles on Pythagorean Triplets by searching the Dr. Math archives. One way I use to teach my students to find triplets is as follows: Pick any two numbers greater than 2. We will call them M and N. The triplet is formed by: M^2 + N^2 M^2 - N^2 (absolute value) 2MN Example: choose M = 4 and N = 7. M^2 + N^2 = 4^2 + 7^2 = 16 + 49 = 65 M^2 - N^2 = 4^2 - 7^2 = 16 - 49 = -33 (absolute value = 33) 2MN = 2 x 4 x 7 = 56. So, the triplet is 33, 56 and 65 You can test it by: 33^2 + 56^2 = 65^2 1089 + 3136 = 4225 Hope this helps you with your problem. Let me know if you need further info. Come back to see us soon. - Doctor White, The Math Forum http://mathforum.org/dr.math/ |
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