document.write( "Question 24655: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point?\r
\n" ); document.write( "\n" ); document.write( "How do you solve an equation like this?
\n" ); document.write( "

Algebra.Com's Answer #13142 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
a picture always helps
\n" ); document.write( "|---------------
\n" ); document.write( "|
\n" ); document.write( "|
\n" ); document.write( "|
\n" ); document.write( "|
\n" ); document.write( "|
\n" ); document.write( "35 km N
\n" ); document.write( "65 km east
\n" ); document.write( "north and east are at right angles to eachother, so use the pythagorean theorem
\n" ); document.write( "which says hypoteneuse= \"sqrt%28x%5E2+%2B+y%5E2%29\"
\n" ); document.write( "where x and y are the legs of the right triangle
\n" ); document.write( "\"H+=+sqrt%2835%5E2+%2B+65%5E2%29\"
\n" ); document.write( "note that 35^2 = (5 * 7)^2 = 5^2 * 7^2
\n" ); document.write( "and also 65^2 = (5 * 13)^2 = 5^2 * 13^2
\n" ); document.write( "\"H+=+%28sqrt%285%5E2%29%29+%2A+sqrt%287%5E2+%2B+13%5E2%29\"
\n" ); document.write( "\"H+=+5+%2A+sqrt%2849+%2B+169%29\"
\n" ); document.write( "\"H+=+5+%2A+sqrt%28218%29\"
\n" ); document.write( "calculate this for the answer
\n" ); document.write( "
\n" );