Question

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

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 1\) and \(b = 3\).
So \(c^{2}=1^{2}+3^{2}\).

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

\(1^{2}=1\) and \(3^{2}=9\), then \(c^{2}=1 + 9=10\).

Step3: Solve for \(c\)

\(c=\sqrt{10}\approx 3.2\) (rounded to the nearest tenth).

Answer:

\(3.2\)