find the length of the third side. if necessary, write in simplest radical form

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, (a^{2}+b^{2}=c^{2}). Let (a = \sqrt{11}), (b = 5), and we need to find (c). [c^{2}=(\sqrt{11})^{2}+5^{2}]

Step2: Simplify the equation

[c^{2}=11 + 25] [c^{2}=36]

Step3: Solve for (c)

Take the square root of both sides. Since (c>0) (length of a side), (c=\sqrt{36})

Answer:

(6)