document.write( "Question 404480: 10. A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter. (1 point \n" ); document.write( "
Algebra.Com's Answer #285844 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The legs and the diagonal form a right angle. \n" ); document.write( "The diagonal is the hypotenuse. \n" ); document.write( "apply Pythagoras theorem \n" ); document.write( ".. \n" ); document.write( "Let l be one leg. \n" ); document.write( "since it is a square the other leg is also l.\r \n" ); document.write( "\n" ); document.write( "l^2+l^2= 40^2 \n" ); document.write( "2l^2=1600 \n" ); document.write( "l^2=800 \n" ); document.write( "l = sqrt (800) \n" ); document.write( "l = 28.28 \n" ); document.write( "... \n" ); document.write( "l= 28.3 cm \n" ); document.write( " \n" ); document.write( " |