Answer:
10,15,20
Step-by-step explanation:
Pythagorean triple is when three number satisfies [tex]a^{2} +b^{2} =c^{2}[/tex].
For 3,4,5
if a=3, b=4 and c=5
then
[tex](3)^{2} +(4)^{2} =(5)^{2}[/tex]
[tex]9 +16 =25[/tex]
[tex]25 =25[/tex]
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
[tex](10)^{2} +(15)^{2} =(20)^{2}[/tex]
[tex]100 +225 =400[/tex]
325[tex]\neq[/tex]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.
