Question

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

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(a = 57\), \(b=76\). So \(c^{2}=57^{2}+76^{2}\).
Calculate \(57^{2}=3249\) and \(76^{2}=5776\). Then \(c^{2}=3249 + 5776=9025\).

Step2: Solve for \(c\)

Take the square root of \(c^{2}\), \(c=\sqrt{9025}\). Since \(95\times95 = 9025\), \(c = 95\).

Answer:

\(95\)