Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$
where $a=51$ km, $b=68$ km

Step2: Calculate squared side lengths

$$c^2 = 51^2 + 68^2 = 2601 + 4624$$

Step3: Sum and take square root

$$c^2 = 7225 \implies c = \sqrt{7225}$$

Step4: Round if needed (no rounding needed here)

$$c = 85$$

Answer:

85 kilometers