Question

hampton is 80 miles due north of the airport, and fairfax is 60 miles due east of the airport. how far apart are hampton and fairfax? miles

Explanation:

Step1: Identify the triangle type

This is a right - triangle problem. The distance from the airport to Hampton (\(a = 80\) miles) and from the airport to Fairfax (\(b=60\) miles) are the two legs of a right - triangle, and the distance between Hampton and Fairfax (\(c\)) is the hypotenuse.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 80\) and \(b = 60\) into the formula:

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Answer:

100