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 \(c = 30\) (hypotenuse) and \(a = 22\). So \(x^{2}+22^{2}=30^{2}\).

Step2: Solve for \(x^{2}\)

\(x^{2}=30^{2}-22^{2}\).

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Step3: Find \(x\)

\(x=\sqrt{416}\approx20.4\)

Answer:

\(20.4\)