Question

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

Step1: Identify Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c$ is hypotenuse, $a=3$, $b=?$ , $c=8$

Step2: Rearrange to solve for $b$

$b^2 = c^2 - a^2$

Step3: Substitute values

$b^2 = 8^2 - 3^2 = 64 - 9 = 55$

Step4: Take square root

$b = \sqrt{55}$

Answer:

$\sqrt{55}$