Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 7\) and \(b = 7\), so \(c^{2}=7^{2}+7^{2}\).

Step2: Calculate \(7^{2}+7^{2}\)

\(7^{2}=49\), then \(7^{2}+7^{2}=49 + 49=98\). So \(c^{2}=98\).

Step3: Solve for \(c\)

\(c=\sqrt{98}\). Simplify \(\sqrt{98}=\sqrt{49\times2}=7\sqrt{2}\approx7\times1.414 = 9.9\) (rounded to the nearest tenth).

Answer:

\(9.9\)