Question

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

Explanation:

Step1: Apply Pythagorean theorem

Let the unknown side be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 18\) (hypotenuse) and \(a = 12\). So \(x^{2}+12^{2}=18^{2}\).

Step2: Simplify the equation

\(x^{2}+144 = 324\). Then \(x^{2}=324 - 144\).

Step3: Calculate \(x^{2}\)

\(x^{2}=180\).

Step4: Find \(x\)

\(x=\sqrt{180}\approx13.4\)

Answer:

\(13.4\)