Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here \(c = 9.9\) mi and \(a=7.2\) mi. We need to find \(b\), so \(b=\sqrt{c^{2}-a^{2}}\).

Step2: Substitute values

\(b=\sqrt{(9.9)^{2}-(7.2)^{2}}=\sqrt{98.01 - 51.84}=\sqrt{46.17}\)

Step3: Calculate the square root

\(\sqrt{46.17}\approx6.8\)

Answer:

\(6.8\)