Question

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

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Let \(a = \sqrt{5}\) and \(b = 2\). Then \(c^{2}=(\sqrt{5})^{2}+2^{2}\).

Step2: Calculate \(c^{2}\)

\((\sqrt{5})^{2}+2^{2}=5 + 4=9\).

Step3: Find \(c\)

Since \(c^{2}=9\), then \(c=\sqrt{9}=3\).

Answer:

\(3\)