Question

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

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem for a right - triangle is $a^{2}+b^{2}=c^{2}$, where $a = 2$ yd, $b = 1$ yd, and $c$ is the hypotenuse.
So, $c^{2}=2^{2}+1^{2}$.

Step2: Calculate the value of $c^{2}$

$2^{2}+1^{2}=4 + 1=5$. So, $c^{2}=5$.

Step3: Solve for $c$

$c=\sqrt{5}\approx2.2$ (rounded to the nearest tenth).

Answer:

$2.2$