Question

Which of the following sets of numbers is not a Pythagorean triple?

3, 4, 5
10, 15, 20
5, 12, 13
7, 24, 25

Answer 1

10 15 20 since i am pretty sure the rest are a triple(definitely 3 4 5 and 7 24 25 is a triple0 

Answer 2

10,15,20

Explanation:

Pythagorean triple is when three number satisfies
`a^(2) +b^(2) =c^(2)`.

For 3,4,5

if a=3, b=4 and c=5

then

`(3)^(2) +(4)^(2) =(5)^(2)`

`9 +16 =25`

`25 =25`

The left hand and right hand side are satiesfied.

So, the numbers 3,4,5 are Pythagorean triple.

For 10,15,20

if a=10, b=15 and c=20

then

`(10)^(2) +(15)^(2) =(20)^(2)`

`100 +225 =400`

325
`\\eq`400

The left hand and right hand side are not satiesfied.

So, the numbers 10,15,20 are not Pythagorean triple.

Hence, we get the set of numbers which are not Pythagorean triple that is 10,15,20.