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question find the length of the third side. if necessary, write in simp…

Question

question
find the length of the third side. if necessary, write in simplest radical form.
answer
attempt 1 out of 3

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Let the unknown side be \(x\). Assume \(\sqrt{5}\) is the hypotenuse (\(c = \sqrt{5}\)) and one of the legs \(a = 2\). Then \(x^{2}+2^{2}=(\sqrt{5})^{2}\).

Step2: Solve for \(x\)

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Answer:

\(1\)