Question

question find the length of the third side. if necessary, round to the nearest tenth.

Explanation:

Step1: Apply Pythagorean theorem

Let the unknown side be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 25\) (hypotenuse) and \(a = 7\) (one - leg). So \(x=\sqrt{25^{2}-7^{2}}\).

Step2: Calculate the squares

\(25^{2}=625\) and \(7^{2} = 49\). Then \(x=\sqrt{625 - 49}=\sqrt{576}\).

Step3: Find the square root

\(\sqrt{576}=24\).

Answer:

\(24\)