Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(c = 4\), \(a = 2\), and \(b\) is the missing leg.

Step2: Substitute values

$$2^{2}+b^{2}=4^{2}$$
$$4 + b^{2}=16$$

Step3: Solve for \(b^{2}\)

$$b^{2}=16 - 4$$
$$b^{2}=12$$

Step4: Find \(b\)

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

Answer:

\(3.5\)