Answer:
[tex]x=2\sqrt{10}\ units[/tex]
Step-by-step explanation:
we know that
Applying the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse
a and b are the legs
substitute the given values
[tex]x^2=2^2+6^2[/tex]
[tex]x=\sqrt{40} \ units[/tex]
Convert to simplest radical form
Remember that
[tex]40=(2^3)(5)[/tex]
substitute
[tex]x=\sqrt{(2^3)(5)}\ units[/tex]
[tex]x=2\sqrt{10}\ units[/tex]
