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Question
what is the length of the hypotenuse? if necessary, round to the near
c = yards
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Step1: Apply Pythagorean theorem
$$c^{2}=a^{2}+b^{2}$$
Here \(a = 24\), \(b=7\). So \(c^{2}=24^{2}+7^{2}\)
Step2: Calculate \(24^{2}\) and \(7^{2}\)
\(24^{2}=24\times24 = 576\), \(7^{2}=7\times7=49\)
Then \(c^{2}=576 + 49\)
Step3: Sum the values
\(c^{2}=625\)
Step4: Take square root
\(c=\sqrt{625}\)
\(c = 25\)
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\(25\)