Question

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

Explanation:

Step1: Identify the triangle type

This is a right - isosceles triangle with legs \(a = 7\) mi and \(b = 7\) mi. We use the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\).

Step2: Substitute values into the formula

Substitute \(a = 7\) and \(b = 7\) into the formula: \(c=\sqrt{7^{2}+7^{2}}=\sqrt{49 + 49}=\sqrt{98}\).

Step3: Simplify and round

\(\sqrt{98}\approx9.9\) (rounded to the nearest tenth).

Answer:

\(9.9\)