Question

8 mi. 6 mi. what is the length of the missing leg? if necessary, round to the nearest tenth. b = \boxed{} miles submit

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse, and \(a\), \(b\) are the legs. Here, \(c = 8\) mi, one leg \(a = 6\) mi, find \(b\). Rearrange the formula: \(b^2 = c^2 - a^2\).

Step2: Substitute values

\(b^2 = 8^2 - 6^2 = 64 - 36 = 28\)

Step3: Solve for \(b\)

\(b = \sqrt{28} \approx 5.3\) (rounded to nearest tenth)

Answer:

\(5.3\)