document.write( "Question 729822: The diagonal of a rectangle is 1m less than twice the length of one of the sides. The other side is 5m long. What is the diagonal \n" ); document.write( "
Algebra.Com's Answer #446252 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
The diagonal of a rectangle is 1m less than twice the length of one of the sides. The other side is 5m long. What is the diagonal
\n" ); document.write( ".
\n" ); document.write( "Let d = diagonal
\n" ); document.write( "then
\n" ); document.write( "d/2 = length of one side
\n" ); document.write( ".
\n" ); document.write( "applying Pythagorean theorem:
\n" ); document.write( "d^2 = (d/2)^2 + 5^2
\n" ); document.write( "d^2 = d^2/4 + 25
\n" ); document.write( "4d^2 = d^2 + 100
\n" ); document.write( "3d^2 = 100
\n" ); document.write( "d^2 = 100/3
\n" ); document.write( "d = sqrt(100/3)
\n" ); document.write( "d = sqrt(100)/sqrt(3)
\n" ); document.write( "d = 10/sqrt(3)
\n" ); document.write( "d = 10/sqrt(3) * sqrt(3)/sqrt(3)
\n" ); document.write( "d = 10sqrt(3)/3 meters
\n" ); document.write( " \n" ); document.write( "
\n" );