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

Answer:

$4.5$

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $c = 6$ and $a = 4$. So $4^{2}+b^{2}=6^{2}$.

Step2: Simplify the equation

$16 + b^{2}=36$. Then $b^{2}=36 - 16=20$.

Step3: Solve for $b$

$b=\sqrt{20}\approx4.5$ (rounded to the nearest tenth).