Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 5\) and \(b = 7\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse. So \(c^{2}=5^{2}+7^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(5^{2}=25\) and \(7^{2}=49\), then \(c^{2}=25 + 49=74\).

Step3: Find \(c\)

\(c=\sqrt{74}\approx 8.6\) (rounded to the nearest tenth)

Answer:

\(8.6\)