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

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

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

Answer

Answer:

3.0

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $c = 5$ (hypotenuse) and $a = 4$.

Step2: Rearrange for $b$

$b=\sqrt{c^{2}-a^{2}}=\sqrt{5^{2}-4^{2}}$

Step3: Calculate

$b=\sqrt{25 - 16}=\sqrt{9}=3$ Since we are asked to round to the nearest tenth, $b = 3.0$