document.write( "Question 775962: the playing surface of a soccer field is 300 ft long and 160 ft wide. if a player runs from one corner of the field to the opposite corner, how many ft does he run? \n" ); document.write( "

Algebra.Com's Answer #473264 by tanjo3(60) $\"\"$ $\"About$

You can put this solution on YOUR website!
He runs along the diagonal of the rectangle made by the soccer field. This, along with two sides, creates a right triangle. We can use the Pythagorean theorem.
\n" ); document.write( "
\n" ); document.write( " $\"a%5E2+%2B+b%5E2+=+c%5E2\"$ where c is the length of the diagonal (hypotenuse).
\n" ); document.write( "
\n" ); document.write( "c^2 = 300^2 + 160^2
\n" ); document.write( "c^2 = 90000 + 25600
\n" ); document.write( "c^2 = 115600
\n" ); document.write( "c = 340
\n" ); document.write( "
\n" ); document.write( "The player runs 340 ft. \n" ); document.write( "

\n" );