# Which set of side lengths is a pythagorean triple

## Which set of side lengths is a Pythagorean triple quizlet?

The three whole number side-lengths are called a Pythagorean triple or triad. An example is

**a = 3, b = 4 and h = 5**, called “the 3-4-5 triangle”.## How do you know if side lengths form a Pythagorean triple?

## Which set of numbers is a Pythagorean triple?

, are

…

Pythagorean Triple.

**(3, 4, 5)**, (6, 8,10), (5, 12, 13), (9, 12, 15), (8, 15, 17), (12, 16, 20), (15, 20, 25), (7, 24, 25), (10, 24, 26), (20, 21, 29), (18, 24, 30), (16, 30, 34), (21, 28, 35), ……

Pythagorean Triple.

OEIS | hypotenuses for which there exist distinct integer triangles | |
---|---|---|

3 | A084647 |
125, 250, 375, 500, 750, 875, 1000, 1125, 1375, … |

## Is 5/12/13 is a Pythagorean triple?

yes it is the Pythagoras triplet because

**the square of 13 is equal to the sum of square of 5 and 13**.## How do you find the Pythagorean triple?

## What are examples of Pythagorean triples?

Pythagorean theorem

Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are **(3,4,5) and (5,12,13)**. Notice we can multiple the entries in a triple by any integer and get another triple. For example (6,8,10), (9,12,15) and (15,20,25).

## What is not a Pythagorean triple?

Every integer greater than 2 is part of a primitive or non-primitive Pythagorean triple. For example, the integers

**6, 10, 14, and 18**are not part of primitive triples, but are part of the non-primitive triples (6, 8, 10), (14, 48, 50) and (18, 80, 82).## Is 234 a Pythagorean triplet?

To be Pythagorean triplets, sum of square of 2 smaller numbers should be equal to the square of 3rd number. Therefore, 2, 3 and 4 are

**not Pythagorean triplets**.## Is 112 a Pythagorean triplet?

, are (3, 4, 5), (5, 12, 13), (7, 24, 25), (20, 21, 29), (9, 40, 41), (11, 60, 61), (13, 84, 85), (15, 112, 113), ….

## Is 123 a Pythagorean triplet?

So, 1, 2,

**3 are not Pythagorean triplets**.## How many Pythagorean triples are there?

In summary: There are

**infinitely many pythagorean triples**. There are also infinitely many primitive pythagorean triples. Every positive integer ≥3 is part of a pythagorean triple.## Is 456 a Pythagorean Triple?

For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4 , 5 and 6

**are not pythagorean triple**.## Is 345 a Pythagorean Triple?

The

**3-4-5**right triangle is a Pythagorean Triple, or a right triangle where all the sides are integers. In this particular triangle, the lengths of the shorter sides are 3 and 4, and the length of the hypotenuse, or longest side, is 5.## What is the smallest Pythagorean Triple?

Example: The smallest Pythagorean Triple is

**3, 4 and 5**.## What are the 5 Pythagorean triples?

List of Pythagorean Triples

(3, 4, 5) | (5,12,13) | (7, 24, 25) |
---|---|---|

(8, 15, 17) | (9, 40, 41) | (11, 60, 61) |

(12,35, 37) | (13, 84, 85) | (15, 112, 113) |

(16, 63, 65) | (17,144, 145) | (19, 180, 181) |

(20, 21, 29) | (20, 99 ,101) | (21, 220,221) |

## Does 4/5 and 6 make a Pythagorean triple?

**The numbers 4, 5 and 6 do NOT form a pythagorean triple**as no permutation of the numbers when subtituted into the Pythagorean Theorem yield a true result. When a Pythagorean triple consists of natural numbers which are relatively prime, it is more properly labeled a primitive Pythagorean triple.

## Are 10 24 and 26 a Pythagorean triple?

So, the numbers 10, 24 and 26 form a Pythagorean triplet.

## What are Pythagorean triples Class 8?

Pythagorean Triplet: Pythagorean triplet are the values of hypotenuse, base and perpendicular which tend to represent a right-angled triangle. Integral solutions to the Pythagorean Theorem,

**a2+b2=c2**are called Pythagorean triplet which contains three positive integers a,b,c where a<b<c.## How do you write a Pythagorean triplet?

Pythagorean triples are

**a**where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.^{2}+b^{2}= c^{2}