Question

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what is the length of the hypotenuse? if necessary, round to the nearest tenth.
$c = \square$ kilometers
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Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Calculate squared values

Compute each term and sum them.
$$c^2 = 6400 + 324 = 6724$$

Step3: Solve for c

Take square root of the sum.
$$c = \sqrt{6724} = 82$$

Answer:

82 kilometers