Answer:
a = 8
b = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
I've attached a picture of the 45-45-90 triangle's formula, which is the length of the hypotenuse = [tex]\sqrt{2}[/tex] times the length of a leg (one of the sides of the triangle).
So, applying this to your problem, if 4[tex]\sqrt{2}[/tex] if one of the legs of the triangle, the other leg, which is b , would be the same length.
b = 4[tex]\sqrt{2}[/tex]
To solve for a, you would have to multiply the leg by [tex]\sqrt{2}[/tex].
a = 4[tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex]
I would separate the 4 and the [tex]\sqrt{2}[/tex].
a = 4 x [tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex]
a = 4 x [tex]\sqrt{2 *2}[/tex]
a = 4 x [tex]\sqrt{4}[/tex]
a = 4 x 2
a= 8
