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The integers 3 and 4 form part of the 3-4-5 Pythagorean triple.

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Q: When do two consecutive positive integers form part of a Pythagorean triple?
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What is a pythagorean triple?

A Pythagorean triple is three positive integers a, b, and c, such that a^2 + b^2 = c^2. A well known Pythagorean triplet is (3,4,5). If (a, b, c) is a Pythagorean triplet, then so is (ka, kb, kc) for any positive integer k.


How do you find a pythagorean triple?

There are infinitely many Pythagorean triples. To find a Pythagorean triple take two positive integers x, y with x > y. A Pythagorean triple is of the form x2 - y2, 2xy, x2 + y2.


Which set of integers is a Pythagorean triple?

Pythagorean triples: 3, 4 and 5 or 5, 12 and 13 are two of them


What is the form of the Pythagorean triple generator?

If p and q are integers, then a = p2 - q2 b = 2pq, and c = p2 + q2 form a Pythagorean triple. Furthermore, if p and q are co-prime then the triple is primitive Pythagorean.


Which combination of integers can be used to generate the Pythagorean triple?

There are infinitely many combinations. Using any pair of integers m and n such that m > n > 0, the integers m2 - n2, 2mn and m2 + n2 will form a Pythagorean triple.


What combination of integers can be used to generate the pythagorean triple 8 15 17?

x=4 y=1


How do six eight and ten form a Pythagorean triple?

6, 8, and 10 is simply a scaled up version of a 3,4,5 triangle (simply double each side). Since 3,4,5 is a Pythagorean triple, so is the scaled up triangle. Alternatively, since 6, 8, and 10 are integers (whole numbers) that fulfill the Pythagorean theorem (62 + 82 = 102 ), they are a Pythagorean triple.


How many triple digit numbers are there?

there are 999 - 100 + 1 = 900 positive triple digit positive integers, between 100 and 999.(e.g. there are 102 - 100 + 1 = 3 triple digit integers between 100 and 102,namely 100, 101 and 102.)multiply that by 2 to take in consideration of the negative integers,you have 1800 triple digit integers.


How can you tell if three positive numbers form a Pythagorean triple?

The Pythagorean thereom is a^2+b^2=c^2. So, you can tell if they are a Pythagorean triple by seeing if the two smaller numbers squared equal the largest number squared. Example. Are 3,4, and 5 a Pythagorean triple? 3^2= 9. 4^2= 16. 5^2= 25. 9+16=25, so they are a triple.


Are multiples of triples Pythagorean Triples?

No, the multiple of any random triple is not a Pythagorean triple.


Is 10 14 17 considered a pythagorean triple?

Nearly but not quite a Pythagorean triple


Is 345 a Pythagorean triple?

If you mean 3, 4 and 5 then yes it is a Pythagorean triple