Question

4 m, 2 m, b. what is the length of the missing leg? if necessary, round to the nearest tenth. b = meters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=4$, $a=2$. Rearrange to solve for $b$:
$b^2 = c^2 - a^2$

Step2: Substitute known values

$b^2 = 4^2 - 2^2 = 16 - 4 = 12$

Step3: Calculate square root of 12

$b = \sqrt{12} = 2\sqrt{3} \approx 3.464$

Step4: Round to nearest tenth

Round 3.464 to one decimal place.

Answer:

3.5 meters