Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $a=35$, $b=12$.
$c^2 = 35^2 + 12^2$

Step2: Calculate squared values

$35^2 = 1225$, $12^2 = 144$
$c^2 = 1225 + 144 = 1369$

Step3: Solve for c

Take square root of 1369.
$c = \sqrt{1369}$

Answer:

37 miles