document.write( "Question 831487: A rectangle has a diagonal of 15.4cm and the width is 6.4cm. To the nearest centimeter what is the length of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #501418 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! A rectangle split down the diagonal gives us two right triangles, so we can use the right triangle formula. \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "We're given c^2 as 15.4cm \n" ); document.write( "We're given b^2 as 6.4cm (or we could call it a^2; works either way) \n" ); document.write( ". \n" ); document.write( "a^2 + 6.4^2 = 15.4^2 \n" ); document.write( "a^2 + 40.96 = 237.16 \n" ); document.write( "Subtract 40.96 from each side \n" ); document.write( "a^2 = 196.2 \n" ); document.write( "Take the square root of each side \n" ); document.write( "a = 14.0071 \n" ); document.write( "to the nearest cm \n" ); document.write( "a = 14 <<--\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |