question\nfind the length of the third side. if necessary, write in simplest radical form.

question\nfind the length of the third side. if necessary, write in simplest radical form.
Answer
Explanation:
Step1: Identify the theorem
Use the Pythagorean theorem (a^{2}+b^{2}=c^{2}) for a right - triangle. Here, if the two legs are (a = 7) and (b = 8), and the hypotenuse is (c).
Step2: Apply the formula
(c=\sqrt{7^{2}+8^{2}}=\sqrt{49 + 64}=\sqrt{113})
Answer:
(\sqrt{113})