3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support
your answer.

Answer: b=2(square root of 2) and a=4
Step-by-step explanation:
Since this is a 45-45-90 triangle we know that side b is equal to [tex]b=2\sqrt{2}[/tex].
In a 45-45-90 triangle, the hypotenuse is equal to [tex]x\sqrt{2}[/tex] this means in order to find missing side length a, we have to multiply [tex](2\sqrt{2})(\sqrt{2})[/tex] this will give us 4
so the missing side lengths are, [tex]b=2\sqrt{2}[/tex] and [tex]a=4[/tex]