Answer:
c = sqrt(11)
Explanation:
We can use the pythagorean theorem to calculate the length of the hypotenuse.
c^2 = a^2 +b^2 where a and b are the legs and c is the hypotenuse
c^2 = 3^2 + (sqrt(2))^2
c^2 = 9 + 2
c^2 =11
Take the square root of each side.
sqrt(c^2) = sqrt(11)
c = sqrt(11)