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Question
5 ft 8 ft pythagorean theorem: $a^{2}+b^{2}=c^{2}$
Step1: Identify values for Pythagorean theorem
Let $b = 5$ ft and $c=8$ ft. The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, and we want to find $a$. So, $a^{2}=c^{2}-b^{2}$.
Step2: Substitute values
$a^{2}=8^{2}-5^{2}=64 - 25=39$.
Step3: Solve for a
$a=\sqrt{39}\text{ ft}$.
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$\sqrt{39}\text{ ft}$