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jmc

geometry intermediate

Problem

Minneapolis-St. Paul International Airport is 8 miles southwest of downtown St. Paul and 10 miles southeast of downtown Minneapolis. To the nearest integer, how many miles apart are downtown St. Paul and downtown Minneapolis?
Solution
Let downtown St. Paul, downtown Minneapolis, and the airport be located at , , and , respectively. Then has a right angle at , so by the Pythagorean Theorem, Therefore, the distance between the two downtowns to the nearest mile is miles.
Final answer
\text{13}