Math11U

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

1. 👍 0
2. 👎 0
3. 👁 96
1. 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.

1. 👍 0
2. 👎 0
posted by Reiny
2. Just a question.. should I have 3 numbers and not only two?

1. 👍 0
2. 👎 0
posted by Kitkat

Similar Questions

1. math

Having trouble with these pairs of numbers (20,21,29) - (28,45,53) I am supposed to develop a Pythagorean triple. Here is that I am supposed to use which is a formula that can be used to generate infinite number of generating

asked by Dave on February 21, 2011
2. C programming

Pythagorean Triples. A right triangle can have sides that are all integers. The set of three integer values for the sides of a right triangle is called a Pythagorean triple. These three sides must satisfy the relationship that the

asked by john on October 31, 2009
3. Pre Algebra Plz help asap!-:)

1.Which set represents a Pythagorean triple? 27, 38, 42 33, 44, 55*** 35, 38, 42 68, 72, 81 2.Which number completes the Pythagorean triple: 12, 16, ____? 18 20*** 22 24 3. Which set represents a Pythagorean triple? 1, 2, 4 2, 4,

asked by Labbayk on October 5, 2015
4. Math

1. Which set represents a Pythagorean triple? (1 point) 27, 38, 42 33, 44, 55 35, 38, 42 68, 72, 81 2. Which number completes the Pythagorean triple: 12, 16, ____? (1 point) 18 20 22 24 3. Which set represents a Pythagorean

asked by Shalee^~^ on November 3, 2015
5. math

A Pythagorean triple is an ordered triple of positive integers(a,b,c) such that a^2+B^2=c^2.Find the number of the Pythagorean triples such that all the numbers a,b and c are prime?

asked by Pythagoras's triple on October 10, 2013
6. geometry

State whether the following numbers make a right triangle and a Pythagorean triple: 2, 2 root 2, and 2 root 3 I am pretty sure that both answers are no, because 2 squared and 2 root 2 squared equal 8, whereas 2 root 3 squared

asked by Morgan on April 4, 2015
7. Math

We are doing a project with Pythagorean Theorem where we need to measure a wall and then make pennants that fit on the string. I did that, my wall is 50in, my pennants were cut from a 9 by 9 square. When I measured the diagonal,

8. Math PLZZ

1. Which set of numbers represents a Pythagorean triple? 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45* 2. If the lengths of the legs in a right triangle are 7 and 8, what is the approximate length of the hypotenuse? 1.4 3.8 5.4* 10.6

asked by YOLO on October 21, 2015