Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = feet
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Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$, where \(a = 57\), \(b=76\). So \(c^{2}=57^{2}+76^{2}\).

Step2: Calculate \(57^{2}\) and \(76^{2}\)

\(57^{2}=57\times57 = 3249\), \(76^{2}=76\times76=5776\). Then \(c^{2}=3249 + 5776=9025\).

Step3: Find \(c\)

\(c=\sqrt{9025}\), since \(95\times95 = 9025\), so \(c = 95\).

Answer:

\(95\)