Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
3 km
4 km
c = \boxed{} kilometers

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $a=3$, $b=4$.
$c^2 = 3^2 + 4^2$

Step2: Calculate squared values

$c^2 = 9 + 16$

Step3: Sum and find square root

$c^2 = 25$, so $c = \sqrt{25}$

Answer:

5 kilometers