Mathematics: Which set of integers is a pythagorean triple? 3, 5, 6 5, 12, 13 15, 9, 17 6, 8, 12

ok i m Addison but call me addiStep-by-step explanation:...

Which set of integers is a pythagorean triple? 3,

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04.01.2022

The set of integers which form a Pythagorean triple is:

5,12,13

Step-by-step explanation:

We are asked to find the set of integers such that they form a Pythagorean triplets.

Three integers a,b,c are said to form a Pythagorean triplets if they satisfy the property:

c^2=a^2+b^2

3,5,6

6^2=36

and

$3^2+5^2=9+25\\=34\neq 36$

Hence option: 1 is incorrect.

5, 12, 13

13^2=169

and

5^2+12^2=25+144=169

This means:

13^2=5^2+12^2

Hence, option 2 is correct.

15,9,17

17^2=289

Also,

$15^2+9^2=225+81=306\neq 289$

Hence, option 3 is incorrect.

6,8,12

12^2=144

and:

$6^2+8^2=36+64=100\neq 144$

Hence, option 4 is incorrect.

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