document.write( "Question 271201: find the length and width with a ratio of 16:9 of a rectangle that has a 42 inch diagonal \n" ); document.write( "
Algebra.Com's Answer #198595 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 16^2+9^2=c^2 solution of a similar triangle. \n" ); document.write( "256+81=c^2 \n" ); document.write( "c^2=337 \n" ); document.write( "c=sqrt337 \n" ); document.write( "c=18.35756 diagonal length. \n" ); document.write( "42/18.35756=2.288 ans. for the multiplier. \n" ); document.write( "16*2.288=36.608 ans. for the longer side. \n" ); document.write( "9*2.288=20.592 ans. for the shorter side. \n" ); document.write( "Proof: \n" ); document.write( "36.608^2+20.592^2=42^2 \n" ); document.write( "1340.1456+424.03=1,764 \n" ); document.write( "1,764~1,764 \n" ); document.write( " |