Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 48\) ft and \(b = 55\) ft, the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse. So \(c^{2}=48^{2}+55^{2}\).

Step2: Calculate \(48^{2}\) and \(55^{2}\)

\(48^{2}=48\times48 = 2304\) and \(55^{2}=55\times55 = 3025\). Then \(c^{2}=2304 + 3025=5329\).

Step3: Find the value of \(c\)

Take the square - root of both sides: \(c=\sqrt{5329}\). Since \(\sqrt{5329}=73\), \(c = 73.0\) ft.

Answer:

73.0