Question

For this 45-45-90 trinagle...??

Answer 1

`{x}^(2) + {x}^(2) = {(3 √(2) )}^(2) \\ 2 {x}^(2) = 18 \\ {x}^(2) = (18)/(2) \\ {x}^(2) = 9 \\ \boxed{x = 3}`

Therefore the length of the legs is 3.