Question

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

Explanation:

Step1: Identify the theorem

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 18\), \(b = 24\), and \(c\) is the hypotenuse.

Step2: Substitute values

\(c^{2}=18^{2}+24^{2}\). Calculate \(18^{2}=324\) and \(24^{2}=576\). Then \(c^{2}=324 + 576=900\).

Step3: Solve for \(c\)

Take the square - root of both sides. \(c=\sqrt{900}=30\).

Answer:

30