Question

Q. Does the set of numbers represent a Pythagorean Triple.10,24,26YesNo

Answer 1

A triple (a,b,c) is said to be a pythagorean triple if and only if

`a^2+b^2=c^2`

We only need to check if this equation holds to the triple (10,24,26)

We have

`10^2=100`
`24^2=576`
`26^2=676`
`10^2+24^2=100+576=676=26^2`

Since the equation holds, the triple is indeed a pythagorean triple