Answer:
[tex]2\sqrt{2}\ units[/tex]
Step-by-step explanation:
we know that
In a 45-45-90 right triangle, the length of the two legs are equal
so
Applying the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse
a and b are the legs
we have
[tex]a=2\ units\\b=2\ units[/tex]
substitute
[tex]c^2=2^2+2^2[/tex]
[tex]c^2=4+4[/tex]
[tex]c^2=8[/tex]
[tex]c=\sqrt{8}\ units[/tex]
simplify
[tex]c=2\sqrt{2}\ units[/tex]
