Answer :
Answer:
4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
ratio of leg to hypotenuse in a 45-45-90° triangle is 1 : [tex]\sqrt{2}[/tex]
we can use this proportion to solve the problem:
let 'x' = leg
x/8 = 1/[tex]\sqrt{2}[/tex]
cross-multiply:
[tex]\sqrt{2}[/tex] x = 8
x = 8 / [tex]\sqrt{2}[/tex]
if you multiply top and bottom by [tex]\sqrt{2}[/tex] you will get 4[tex]\sqrt{2}[/tex]