Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $a = 5$, $b = 12$, and $c$ is the hypotenuse. So $c^{2}=5^{2}+12^{2}$.

Step2: Calculate the squares

$5^{2}=25$ and $12^{2}=144$. Then $c^{2}=25 + 144=169$.

Step3: Find the value of $c$

Take the square - root of both sides. $c=\sqrt{169}=13$.

Answer:

13