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) and \(a = 20\) (one leg). We need to find \(b\).
So, \(b^{2}=c^{2}-a^{2}\)

Step2: Substitute values

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

Step3: Solve for \(b\)

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

Answer:

\(21\)