Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, the Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a = 30$ km, $b = 40$ km and $c$ is the hypotenuse. So, $c^{2}=30^{2}+40^{2}$.

Step2: Calculate the squares

$30^{2}=30\times30 = 900$ and $40^{2}=40\times40 = 1600$. Then $c^{2}=900 + 1600=2500$.

Step3: Find the value of $c$

Take the square - root of both sides. $c=\sqrt{2500}=50$ km.

Answer:

50