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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a,b$ are the legs. Here $c = 7$ cm and $a = 3$ cm. 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: Simplify and round

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

Answer:

$6.3$