Question

what is the length of the missing leg? if necessary, round to the nearest tenth. b = miles

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs. Here, \(c = 10\) and \(a = 8\), and we want to find \(b\). So, \(b=\sqrt{c^{2}-a^{2}}\).

Step2: Substitute values

Substitute \(c = 10\) and \(a = 8\) into the formula: \(b=\sqrt{10^{2}-8^{2}}=\sqrt{100 - 64}=\sqrt{36}\).

Step3: Calculate the result

\(\sqrt{36}=6\).

Answer:

6