Question

How can I determine whether or not m,n,sqrt{m^2+n^2} is a Pythagorean triple or not?

Answer 1

if this triple satisfies the equation \(a^2+b^2=c^2\) then its a pyth triple

Answer 2

go ahead :)

Answer 3

but how do u find the square root of m^2+n^2?

Answer 4

we dont need to find square root of m^2+n^2 because we dont know what numbers are them

Answer 5

its a pyth triple because if we let a=m b=n and c=sqrt{m^2+n^2} u have

m^2+n^2=(sqrt{m^2+n^2} )^2=m^2+n^2

Answer 6

so then its not a triple because m^2+n^2 dont equal the square root of m^2+n^2

Answer 7

wait what

Answer 8

3,4,5 is a pyth triple right?

Answer 9

yea

Answer 10

why?

Answer 11

because 3^2+4^2=5^2

Answer 12

yup now see if thats right for m,n,sqrt{m^2+n^2} or not?

Answer 13

ohhh i see now

Answer 14

thanks so much

Answer 15

welcome :)