Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
( b = ) (\boxed{}) millimeters

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Substitute known values: $a=4$, $c=8$
$$4^2 + b^2 = 8^2$$

Step2: Calculate squared values

$$16 + b^2 = 64$$

Step3: Isolate $b^2$

$$b^2 = 64 - 16 = 48$$

Step4: Solve for $b$

$$b = \sqrt{48} \approx 6.9$$

Answer:

$6.9$ millimeters