Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(c = 8.3\) (hypotenuse) and \(b = 3.1\) (one leg). So \(a^{2}=c^{2}-b^{2}\).

Step2: Substitute values

\(a^{2}=8.3^{2}-3.1^{2}=68.89 - 9.61=59.28\).

Step3: Solve for \(a\)

\(a=\sqrt{59.28}\approx7.7\).

Answer:

\(7.7\)