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Question
find the length of the third side. if necessary, round to the nearest tenth. 10 6 answer attempt 2 out of 2 68 submit answer
Step1: Identify the theorem
Use Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse. Here $c = 10$, $a = 6$, and we need to find $b$.
Step2: Rearrange the formula
$b=\sqrt{c^{2}-a^{2}}$.
Step3: Substitute values
$b=\sqrt{10^{2}-6^{2}}=\sqrt{100 - 36}=\sqrt{64}$.
Step4: Calculate the result
$\sqrt{64}=8$.
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