Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(c = 29\) (hypotenuse), \(a = 20\) (one leg), and \(b\) is the missing leg. So \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

\(b^{2}=29^{2}-20^{2}=841 - 400=441\).

Step3: Solve for \(b\)

\(b=\sqrt{441}=21\).

Answer:

\(21\)