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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a,b$ are the legs. Here $c = 4$ m and $a = 2$ m, and we want to find $b$. So $b^{2}=c^{2}-a^{2}$.

Step2: Substitute values

Substitute $c = 4$ and $a = 2$ into the formula: $b^{2}=4^{2}-2^{2}=16 - 4=12$.

Step3: Solve for $b$

$b=\sqrt{12}\approx3.5$ m.

Answer:

$3.5$