Question

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

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $c = 4.5$ (hypotenuse), $a = 1$ (one leg), and $b$ is the missing leg.
So, $b^{2}=c^{2}-a^{2}$.

Step2: Substitute values

$b^{2}=4.5^{2}-1^{2}=20.25 - 1=19.25$.

Step3: Solve for $b$

$b=\sqrt{19.25}\approx4.4$.

Answer:

$4.4$