Question

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

Explanation:

Step1: Apply the Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(c = 8\) (hypotenuse), \(a = 4\) (one leg), and \(b\) is the missing leg.

Step2: Substitute values into the formula

$$4^{2}+b^{2}=8^{2}$$
$$16 + b^{2}=64$$

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

$$b^{2}=64 - 16$$
$$b^{2}=48$$

Step4: Find \(b\)

$$b=\sqrt{48}$$
$$b = 4\sqrt{3}\approx6.9$$

Answer:

\(6.9\)