Question

find the length of the third side. if necessary, round to the nearest tenth. answer attempt 1 out of 2

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values

Substitute \(c = 25\) and \(a = 7\) into the formula: \(x=\sqrt{25^{2}-7^{2}}=\sqrt{625 - 49}=\sqrt{576}\).

Step3: Calculate the square root

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

Answer:

\(24\)