Question

what is the length of the hypotenuse? if necessary, round to the
c = centimeters
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Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here, \(a = 24\) cm and \(b=70\) cm. So, \(c^{2}=24^{2}+70^{2}\)

Step2: Calculate \(24^{2}\) and \(70^{2}\)

\(24^{2}=24\times24 = 576\)
\(70^{2}=70\times70=4900\)
Then \(c^{2}=576 + 4900=5476\)

Step3: Find \(c\)

\(c=\sqrt{5476}\)
Since \(74\times74 = 5476\), so \(c = 74\)

Answer:

\(74\)