Answer: The length of the hypotenuse is 12 inches.
Step-by-step explanation:
In this case we need to use the Pythagorean Theorem. This is:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.
We can say that:
[tex]b=6in\\c=6\sqrt{3}in[/tex]
Then, substituting values into [tex]a^2=b^2+c^2[/tex] and solving for "a", we get that the lenght of the hypotenuse is the following:
[tex]a^2=(6in)^2+(6\sqrt{3}in)^2\\\\a=\sqrt{(6in)^2+(6\sqrt{3}in)^2}\\\\a=12in[/tex]
