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

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

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

Answer

Answer:

$2.2$

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $c = 3$ (hypotenuse) and $a = 2$ (one - leg), we want to find $b$. So $b=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

$b=\sqrt{3^{2}-2^{2}}=\sqrt{9 - 4}=\sqrt{5}$.

Step3: Calculate and round

$\sqrt{5}\approx2.236\approx2.2$ (rounded to the nearest tenth).