Question

question
find the length of the third side. if necessary, write in simplest radical form.
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answer attempt 1 out of 2
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Explanation:

Step1: Apply Pythagorean theorem

Let the unknown side be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = \sqrt{73}\), \(a = 8\), and \(b=x\). So \(x^{2}+8^{2}=(\sqrt{73})^{2}\).

Step2: Simplify the equation

\(x^{2}+64 = 73\). Then \(x^{2}=73 - 64\).

Step3: Solve for \(x\)

\(x^{2}=9\), so \(x=\sqrt{9}=3\).

Answer:

\(3\)