Practice problem
Derive and Use Pythagorean Theorem
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The distance formula—and hence the Pythagorean Theorem—have a neat application to geography. Here is an example.
You are traveling from Rock Springs, Wyoming to Fort Collins, Colorado. From east to west, the two cities are 290 miles apart. From north to south, the two cities are 110 miles apart. If a perfectly straight road connecting the two cities was built, how long would it be?