Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $a=80$, $b=18$.
$c^2 = 80^2 + 18^2$

Step2: Calculate squared values

$80^2 = 6400$, $18^2 = 324$
$c^2 = 6400 + 324 = 6724$

Step3: Solve for c

Take square root of 6724.
$c = \sqrt{6724} = 82.0$

Answer:

82.0 kilometers