Answer:
AB = BC = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
This is a 45-45-90 triangle (right isosceles). This means that the side ratio is
1:1:[tex]\sqrt{2}[/tex], where AC is sqrt 2, and AB and BC are 1. Now, we need to plug this into our ratio. If sqrt 2 is 8, then 1 is x.
8/[tex]\sqrt{2}[/tex] = x/1 = x
x = 8/[tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] (rationalized)
AB and BC are both 4 * sqrt 2
