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.

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})