SOLUTION: Find 3 non zero numbers such that the sum of the squares of two of the numbers equals the square of the 3rd number. I nned to find five different sets (three numbers)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Find 3 non zero numbers such that the sum of the squares of two of the numbers equals the square of the 3rd number. I nned to find five different sets (three numbers)       Log On


   

Question 51152: Find 3 non zero numbers such that the sum of the squares of two of the numbers equals the square of the 3rd number. I nned to find five different sets (three numbers)
Answer by THANApHD(104) About Me  (Show Source):
You can put this solution on YOUR website!
its easy say x=2ab, y=a^2-b^2 z=a^2+b^2
and a, b are any kind of positve integers(whole numbers)
make x^2+y^2=z^2
for an example, let a=2, b=1

so substitude the values
x^2+y^2=z^2
(2ab)^2+(a^2-b^2)^2=(a^2+b^2)^2
(2*2*1)^2+ (2^2-1^2)^2= (2^2+1^2)^2
4^2 + 3^2 = 5^2
16 + 9 = 25

you can sustitute as much as U want