Posted by **Kitkat** on Sunday, July 25, 2010 at 11:53am.

A Pythagorean Triple is a set of integers that satisfy the Pythagorean Theorem, c squared= a squared + b squared. 3,4,5 and 5,12,13 are just two of many examples. Find another, that is not a multiple of the one of the two given, using the following formula.

n squared- m squared,2mn, n squared+ m squared, where m,n E I and n>m

- Math11U -
**Reiny**, Sunday, July 25, 2010 at 12:52pm
n^2-m^2, 2mn , n^2 + m^2 , where n > m will always produce a Pythagorean triple.

If n and m are also relatively prime, that is they have no common factor between them, then that triple will also be unique.

e.g. n= 12, m=7

12^2-7^2 = 144 - 49 = 95

2(12)(7) = 168

12^2 + 7^2 = 144 + 49 = 193

95, 168, and 193 are a PT , and are not a multiple of any other PT.

- Math11U -
**Kitkat**, Sunday, July 25, 2010 at 1:29pm
Just a question.. should I have 3 numbers and not only two?

## Answer This Question

## Related Questions

- geometry - State whether the following numbers make a right triangle and a ...
- algebra 2 multiple choice HELP - find f(a), if f(t) = 2t2(squared)-t-2 A. 2(a+t)...
- Math - Find the shortcut. Solve these problems. Then find and explain a shortcut...
- math - Having trouble with these pairs of numbers (20,21,29) - (28,45,53) I am ...
- Algebra 1 - Jasmine was building stairs. After using the Pythagorean Theorem, ...
- math - How do i find the area of a triangle? For example: A squared + b squared...
- math - i am having a minor difficulty i've been stuck for over an hour and don't...
- math - Say if these numbers make a right triangle and a Pythagorean triple: 2, 2...
- C programming - Pythagorean Triples. A right triangle can have sides that are ...
- MATH - My Math work instructions is place the numbers from least to greatest. 7 ...

More Related Questions