Question

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

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $c$ is the hypotenuse, $a=\sqrt{5}$, $b=2$.

Step2: Substitute values into formula

$c^2 = (\sqrt{5})^2 + 2^2 = 5 + 4$

Step3: Calculate and solve for $c$

$c^2 = 9$, so $c = \sqrt{9} = 3$

Answer:

3