Question

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

Explanation:

Step1: Apply Pythagorean theorem

Let the hypotenuse be $c = 4.5$ mm and one - leg be $a = 1$ mm. The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, so $b^{2}=c^{2}-a^{2}$.

Step2: Substitute values

Substitute $a = 1$ and $c = 4.5$ into the formula: $b^{2}=4.5^{2}-1^{2}=20.25 - 1=19.25$.

Step3: Solve for $b$

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

Answer:

$4.4$