Question

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

Answer 1

"Pythagorean triples" are integer solutions to the Pythagorean Theorem, a2 + b2
5, 12 13

Answer 2

Answer:

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:

$c^2=a^2+b^2$

1)

3,5,6

$6^2=36$

and

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

Hence option: 1 is incorrect.

2)

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.

3)

15,9,17

$17^2=289$

Also,

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

Hence, option 3 is incorrect.

4)

6,8,12

$12^2=144$

and:

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

Hence, option 4 is incorrect.