see the picture attached to better understand the problem
we know that
in the right triangle ABC
AB is equal to AC
\(AB=AC=6units\)
BC is the hypotenuse
Applying the Pythagorean Theorem
\(BC^{2} =AB^{2}+AC^{2}\\ BC^{2} =6^{2} +6^{2} \\ BC^{2} =72\\ BC=\sqrt{72} \\ BC=6\sqrt{2} units\)
therefore
the answer is
the length of the hypotenuse is \(6\sqrt{2}\) units