Question

I need help on a question

Answer 1

For this case we can do the following:

`8^2=x^2+y^2`

And we can create the following two questions:

`2^2+z^2=x^2,6^2+z^2=y^2`

If we subtract the last two equations we got:

`6^2-2^2=y^2-x^2`

Solving for y^2 we got:

`y^2=36-4+x^2=32+x^2`

Replacing we got in the first equation:

`8^2=x^2+32+x^2`

And solving for x we got:

`64-32=2x^2`
`32=2x^2`
`16=x^2`
`x=\sqrt[]{16}=4`