Question

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

Explanation:

Step1: State Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=6$ mm, $a=5$ mm

Step2: Rearrange to solve for $b$

$b^2 = c^2 - a^2$

Step3: Substitute values

$b^2 = 6^2 - 5^2 = 36 - 25 = 11$

Step4: Calculate square root

$b = \sqrt{11} \approx 3.3$

Answer:

3.3 millimeters