Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = meters

Explanation:

Step1: Apply Pythagorean theorem

$a = 2$, $b = 4$, and the Pythagorean theorem is $c^{2}=a^{2}+b^{2}$. So $c^{2}=2^{2}+4^{2}$.

Step2: Calculate the squares

$2^{2}=4$ and $4^{2} = 16$, then $c^{2}=4 + 16=20$.

Step3: Find the value of c

$c=\sqrt{20}\approx4.5$ (rounded to the nearest tenth).

Answer:

$4.5$