Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation
We can use the pythagorean theorem here. This theorem states that [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse, and a, b are the other sides of the triangle.
We're given a, and b (both are 4), by plugging them into the formula, we get [tex]c^2 = 32[/tex]. But the answer asks for [tex]c\\[/tex] in radical form, and so we can take the square root of both sides, getting c = ±[tex]\sqrt{32}[/tex]. Since a negative side length doesn't make sense, we can finish by saying that [tex]c = \sqrt{32}[/tex].
