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The problem gives us the length of the hypotenuse and one of the legs.Some time later, the northbound train has traveled 12 miles, and the eastbound train has traveled 16 miles.How far apart are the two trains, measured in a straight line ?Worksheet given in this section is much useful to the students who would like to practice solving word problems on the Pythagorean theorem.Before look at the worksheet, if you want to know more about the Pythagorean Theorem, From a train station, one train heads north, and another heads east.The legs are the two shorter sides, which meet at the right angle.By convention, the legs are usually labeled Pythagorean theorem problems start by giving you the length of two of the sides of a right triangle.On the first sheet, only the hypotenuse needs to be found, given the measurements of the other sides.Illustrations have been provided to support students solving these word problems.In this case, x = 4 does not make sense because 4 – 7 = –3 which is impossible, so x = 12 is the correct answer. By the time Carrie is 5 miles form their apartment, the distance between them is 1 mile more than Sarah’s distance from the apartment. Click Here for Practice Problems Example 3 – A guy wire is attached to a telephone pole.Example 2 –Carrie works dues south of her apartment. The distance from the point where the wire touches the ground to the base of the telephone pole is 4 feet less than the length of the wire.