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

Explanation:

Step1: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}$, where $a = 2$ and $b = 4$. So $c^{2}=2^{2}+4^{2}$.

Step2: Calculate the right - hand side

$2^{2}+4^{2}=4 + 16=20$. So $c^{2}=20$.

Step3: Solve for c

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

Answer:

$4.5$