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

Answer:

6.3

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $c = 7$ (hypotenuse) and $a = 3$ (one - leg), we want to find $b$. So $b=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

$b=\sqrt{7^{2}-3^{2}}=\sqrt{49 - 9}=\sqrt{40}$.

Step3: Calculate and round

$\sqrt{40}\approx6.3$ (rounded to the nearest tenth).